13985160 has 64 divisors (see below), whose sum is σ = 47952000. Its totient is φ = 3196416.

The previous prime is 13985143. The next prime is 13985161. The reversal of 13985160 is 6158931.

It is not an unprimeable number, because it can be changed into a prime (13985161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7485 + ... + 9164.

It is an arithmetic number, because the mean of its divisors is an integer number (749250).

Almost surely, 2^13985160 is an apocalyptic number.

13985160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13985160 is an abundant number, since it is smaller than the sum of its proper divisors (33966840).

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

13985160 is a wasteful number, since it uses less digits than its factorization.

13985160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16670 (or 16666 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 13985160 is about 3739.6737825645. The cubic root of 13985160 is about 240.9290379505.

The spelling of 13985160 in words is "thirteen million, nine hundred eighty-five thousand, one hundred sixty".