1161216 has 120 divisors (see below), whose sum is σ = 3963960. Its totient is φ = 331776.

The previous prime is 1161203. The next prime is 1161217. The reversal of 1161216 is 6121611.

Adding to 1161216 its reverse (6121611), we get a palindrome (7282827).

It can be divided in two parts, 11612 and 16, that added together give a triangular number (11628 = T_{152}).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (72) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161217) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165885 + ... + 165891.

It is an arithmetic number, because the mean of its divisors is an integer number (33033).

2^{1161216} is an apocalyptic number.

1161216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981980).

1161216 is an abundant number, since it is smaller than the sum of its proper divisors (2802744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1161216 is an frugal number, since it uses more digits than its factorization.

1161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 12 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1161216 is about 1077.5973273909. The cubic root of 1161216 is about 105.1084593573.

The spelling of 1161216 in words is "one million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 256 288 324 336 378 384 432 448 504 512 567 576 648 672 756 768 864 896 1008 1024 1134 1152 1296 1344 1512 1536 1728 1792 2016 2048 2268 2304 2592 2688 3024 3072 3456 3584 4032 4536 4608 5184 5376 6048 6144 6912 7168 8064 9072 9216 10368 10752 12096 13824 14336 16128 18144 18432 20736 21504 24192 27648 32256 36288 41472 43008 48384 55296 64512 72576 82944 96768 129024 145152 165888 193536 290304 387072 580608 1161216

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