11957664 has 72 divisors (see below), whose sum is σ = 33421248. Its totient is φ = 3742720.

The previous prime is 11957653. The next prime is 11957713. The reversal of 11957664 is 46675911.

11957664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27529 + ... + 27959.

It is an arithmetic number, because the mean of its divisors is an integer number (464184).

Almost surely, 2^11957664 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 11957664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16710624).

11957664 is an abundant number, since it is smaller than the sum of its proper divisors (21463584).

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

11957664 is a wasteful number, since it uses less digits than its factorization.

11957664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 453 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 11957664 is about 3457.9855407448. The cubic root of 11957664 is about 228.6732944763.

It can be divided in two parts, 11957 and 664, that added together give a palindrome (12621).

The spelling of 11957664 in words is "eleven million, nine hundred fifty-seven thousand, six hundred sixty-four".