15116256 has 72 divisors (see below), whose sum is σ = 43636320. Its totient is φ = 4962816.

The previous prime is 15116201. The next prime is 15116261. The reversal of 15116256 is 65261151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20665 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 2^15116256 is an apocalyptic number.

15116256 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 15116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818160).

15116256 is an abundant number, since it is smaller than the sum of its proper divisors (28520064).

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

15116256 is a wasteful number, since it uses less digits than its factorization.

15116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 15116256 is about 3887.9629627866. The cubic root of 15116256 is about 247.2567061288.

The spelling of 15116256 in words is "fifteen million, one hundred sixteen thousand, two hundred fifty-six".