13731360 has 48 divisors (see below), whose sum is σ = 43255296. Its totient is φ = 3661568.

The previous prime is 13731353. The next prime is 13731401. The reversal of 13731360 is 6313731.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 13731360.

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, 13824 + ... + 14783.

It is an arithmetic number, because the mean of its divisors is an integer number (901152).

Almost surely, 2^13731360 is an apocalyptic number.

13731360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13731360 is an abundant number, since it is smaller than the sum of its proper divisors (29523936).

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

13731360 is a wasteful number, since it uses less digits than its factorization.

13731360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28625 (or 28617 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 13731360 is about 3705.5849740628. The cubic root of 13731360 is about 239.4626868473.

The spelling of 13731360 in words is "thirteen million, seven hundred thirty-one thousand, three hundred sixty".