13800264 has 32 divisors (see below), whose sum is σ = 34631520. Its totient is φ = 4582656.

The previous prime is 13800221. The next prime is 13800307. The reversal of 13800264 is 46200831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13800221) and next prime (13800307).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6432 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (1082235).

Almost surely, 2^13800264 is an apocalyptic number.

It is an amenable number.

13800264 is an abundant number, since it is smaller than the sum of its proper divisors (20831256).

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

13800264 is a wasteful number, since it uses less digits than its factorization.

13800264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13800264 is about 3714.8706572369. The cubic root of 13800264 is about 239.8625601968.

The spelling of 13800264 in words is "thirteen million, eight hundred thousand, two hundred sixty-four".