11756864 has 84 divisors (see below), whose sum is σ = 28492704. Its totient is φ = 4790016.

The previous prime is 11756863. The next prime is 11756879. The reversal of 11756864 is 46865711.

It is a super-2 number, since 2×11756864² = 276447702228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11756863) 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, 72047 + ... + 72209.

Almost surely, 2^11756864 is an apocalyptic number.

11756864 is a gapful number since it is divisible by the number (14) 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 11756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14246352).

11756864 is an abundant number, since it is smaller than the sum of its proper divisors (16735840).

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

11756864 is a wasteful number, since it uses less digits than its factorization.

11756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 11756864 is about 3428.8283713245. The cubic root of 11756864 is about 227.3860573401.

The spelling of 11756864 in words is "eleven million, seven hundred fifty-six thousand, eight hundred sixty-four".