11526864 has 80 divisors (see below), whose sum is σ = 31819392. Its totient is φ = 3587584.

The previous prime is 11526857. The next prime is 11526877. The reversal of 11526864 is 46862511.

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 15 ways as a sum of consecutive naturals, for example, 58414 + ... + 58610.

Almost surely, 2^11526864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11526864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696).

11526864 is an abundant number, since it is smaller than the sum of its proper divisors (20292528).

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

11526864 is a wasteful number, since it uses less digits than its factorization.

11526864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 11526864 is about 3395.1235618163. The cubic root of 11526864 is about 225.8934940762.

The spelling of 11526864 in words is "eleven million, five hundred twenty-six thousand, eight hundred sixty-four".