11724664 has 32 divisors (see below), whose sum is σ = 26219520. Its totient is φ = 4805856.

The previous prime is 11724619. The next prime is 11724677. The reversal of 11724664 is 46642711.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3264 + ... + 5839.

It is an arithmetic number, because the mean of its divisors is an integer number (819360).

Almost surely, 2^11724664 is an apocalyptic number.

11724664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11724664 is an abundant number, since it is smaller than the sum of its proper divisors (14494856).

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

11724664 is a wasteful number, since it uses less digits than its factorization.

11724664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9135 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 11724664 is about 3424.1296704418. The cubic root of 11724664 is about 227.1782772824.

It can be divided in two parts, 1172466 and 4, that multiplied together give a palindrome (4689864).

The spelling of 11724664 in words is "eleven million, seven hundred twenty-four thousand, six hundred sixty-four".