1611216 has 60 divisors (see below), whose sum is σ = 4603872. Its totient is φ = 525888.

The previous prime is 1611199. The next prime is 1611217. The reversal of 1611216 is 6121161.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9565 + ... + 9731.

2^1611216 is an apocalyptic number.

1611216 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 1611216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301936).

1611216 is an abundant number, since it is smaller than the sum of its proper divisors (2992656).

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

1611216 is a wasteful number, since it uses less digits than its factorization.

1611216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

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

The square root of 1611216 is about 1269.3368347291. The cubic root of 1611216 is about 117.2333715885.

Adding to 1611216 its reverse (6121161), we get a palindrome (7732377).

The spelling of 1611216 in words is "one million, six hundred eleven thousand, two hundred sixteen".