1217216 has 112 divisors (see below), whose sum is σ = 3413760. Its totient is φ = 414720.

The previous prime is 1217213. The next prime is 1217219. The reversal of 1217216 is 6127121.

It is an interprime number because it is at equal distance from previous prime (1217213) and next prime (1217219).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1217216² = 2963229581312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1217213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64055 + ... + 64073.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2^1217216 is an apocalyptic number.

1217216 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 1217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706880).

1217216 is an abundant number, since it is smaller than the sum of its proper divisors (2196544).

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

1217216 is a wasteful number, since it uses less digits than its factorization.

1217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its digits is 168, while the sum is 20.

The square root of 1217216 is about 1103.2751243457. The cubic root of 1217216 is about 106.7716327845.

It can be divided in two parts, 121 and 7216, that added together give a palindrome (7337).

The spelling of 1217216 in words is "one million, two hundred seventeen thousand, two hundred sixteen".