11940864 has 132 divisors (see below), whose sum is σ = 35961696. Its totient is φ = 3514368.

The previous prime is 11940857. The next prime is 11940869. The reversal of 11940864 is 46804911.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11940869) 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, 519157 + ... + 519179.

Almost surely, 2^11940864 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 11940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980848).

11940864 is an abundant number, since it is smaller than the sum of its proper divisors (24020832).

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

11940864 is a wasteful number, since it uses less digits than its factorization.

11940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 11940864 is about 3455.5555269739. Note that the first 4 decimals coincide. The cubic root of 11940864 is about 228.5661522592.

The spelling of 11940864 in words is "eleven million, nine hundred forty thousand, eight hundred sixty-four".