13956264 has 48 divisors (see below), whose sum is σ = 43199520. Its totient is φ = 3987360.

The previous prime is 13956247. The next prime is 13956311. The reversal of 13956264 is 46265931.

It is a happy number.

13956264 is a `hidden beast` number, since 1 + 39 + 562 + 64 = 666.

13956264 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13342 + ... + 14349.

It is an arithmetic number, because the mean of its divisors is an integer number (899990).

Almost surely, 2^13956264 is an apocalyptic number.

13956264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13956264 is an abundant number, since it is smaller than the sum of its proper divisors (29243256).

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

13956264 is a wasteful number, since it uses less digits than its factorization.

13956264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27710 (or 27703 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13956264 is about 3735.8083462619. The cubic root of 13956264 is about 240.7629884654.

The spelling of 13956264 in words is "thirteen million, nine hundred fifty-six thousand, two hundred sixty-four".