11556096 has 72 divisors (see below), whose sum is σ = 31592064. Its totient is φ = 3747840.

The previous prime is 11556091. The next prime is 11556113. The reversal of 11556096 is 69065511.

It is a super-2 number, since 2×11556096² = 267086709522432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11556091) 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 7 ways as a sum of consecutive naturals, for example, 31305 + ... + 31671.

Almost surely, 2^11556096 is an apocalyptic number.

11556096 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 11556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796032).

11556096 is an abundant number, since it is smaller than the sum of its proper divisors (20035968).

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

11556096 is an equidigital number, since it uses as much as digits as its factorization.

11556096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 11556096 is about 3399.4258338725. The cubic root of 11556096 is about 226.0842873538.

The spelling of 11556096 in words is "eleven million, five hundred fifty-six thousand, ninety-six".