13791264 has 48 divisors (see below), whose sum is σ = 38112480. Its totient is φ = 4354560.

The previous prime is 13791263. The next prime is 13791277. The reversal of 13791264 is 46219731.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13791263) 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, 1957 + ... + 5604.

It is an arithmetic number, because the mean of its divisors is an integer number (794010).

Almost surely, 2^13791264 is an apocalyptic number.

It is an amenable number.

13791264 is an abundant number, since it is smaller than the sum of its proper divisors (24321216).

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

13791264 is a wasteful number, since it uses less digits than its factorization.

13791264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593 (or 7585 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 13791264 is about 3713.6591119811. The cubic root of 13791264 is about 239.8104058202.

The spelling of 13791264 in words is "thirteen million, seven hundred ninety-one thousand, two hundred sixty-four".