11975264 has 48 divisors (see below), whose sum is σ = 27181728. Its totient is φ = 5087232.

The previous prime is 11975251. The next prime is 11975273. The reversal of 11975264 is 46257911.

11975264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 43094 + ... + 43370.

It is an arithmetic number, because the mean of its divisors is an integer number (566286).

Almost surely, 2^11975264 is an apocalyptic number.

11975264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11975264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590864).

11975264 is an abundant number, since it is smaller than the sum of its proper divisors (15206464).

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

11975264 is a wasteful number, since it uses less digits than its factorization.

11975264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 11975264 is about 3460.5294392621. The cubic root of 11975264 is about 228.7854311228.

The spelling of 11975264 in words is "eleven million, nine hundred seventy-five thousand, two hundred sixty-four".