11957904 has 60 divisors (see below), whose sum is σ = 38249536. Its totient is φ = 3416256.

The previous prime is 11957903. The next prime is 11957917. The reversal of 11957904 is 40975911.

11957904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11957903) 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, 4924 + ... + 6939.

Almost surely, 2^11957904 is an apocalyptic number.

11957904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11957904 is an abundant number, since it is smaller than the sum of its proper divisors (26291632).

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

11957904 is a wasteful number, since it uses less digits than its factorization.

11957904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 11957904 is about 3458.0202428557. The cubic root of 11957904 is about 228.6748243521.

The spelling of 11957904 in words is "eleven million, nine hundred fifty-seven thousand, nine hundred four".