13952160 has 72 divisors (see below), whose sum is σ = 47616660. Its totient is φ = 3720192.

The previous prime is 13952153. The next prime is 13952171. The reversal of 13952160 is 6125931.

13952160 is a `hidden beast` number, since 139 + 521 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13927824 + 24336 = 3732^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 3405 + ... + 6284.

Almost surely, 2^13952160 is an apocalyptic number.

13952160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13952160 is an abundant number, since it is smaller than the sum of its proper divisors (33664500).

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

13952160 is a wasteful number, since it uses less digits than its factorization.

13952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9710 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13952160 is about 3735.2590271626. The cubic root of 13952160 is about 240.7393864428.

The spelling of 13952160 in words is "thirteen million, nine hundred fifty-two thousand, one hundred sixty".