13857264 has 40 divisors (see below), whose sum is σ = 39776720. Its totient is φ = 4618944.

The previous prime is 13857253. The next prime is 13857269. The reversal of 13857264 is 46275831.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13857269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15607 + ... + 16470.

It is an arithmetic number, because the mean of its divisors is an integer number (994418).

Almost surely, 2^13857264 is an apocalyptic number.

It is an amenable number.

13857264 is an abundant number, since it is smaller than the sum of its proper divisors (25919456).

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

13857264 is a wasteful number, since it uses less digits than its factorization.

13857264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32094 (or 32082 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13857264 is about 3722.5346203897. The cubic root of 13857264 is about 240.1923458050.

It can be divided in two parts, 1385 and 7264, that added together give a square (8649 = 93²).

The spelling of 13857264 in words is "thirteen million, eight hundred fifty-seven thousand, two hundred sixty-four".