11979264 has 80 divisors (see below), whose sum is σ = 34863840. Its totient is φ = 3624960.

The previous prime is 11979263. The next prime is 11979269. The reversal of 11979264 is 46297911.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11979263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16542 + ... + 17250.

It is an arithmetic number, because the mean of its divisors is an integer number (435798).

Almost surely, 2^11979264 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 11979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431920).

11979264 is an abundant number, since it is smaller than the sum of its proper divisors (22884576).

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

11979264 is an equidigital number, since it uses as much as digits as its factorization.

11979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 11979264 is about 3461.1073372549. The cubic root of 11979264 is about 228.8109013992.

The spelling of 11979264 in words is "eleven million, nine hundred seventy-nine thousand, two hundred sixty-four".