13936160 has 96 divisors (see below), whose sum is σ = 39336192. Its totient is φ = 4561920.

The previous prime is 13936159. The next prime is 13936189. The reversal of 13936160 is 6163931.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25490 + ... + 26030.

It is an arithmetic number, because the mean of its divisors is an integer number (409752).

Almost surely, 2^13936160 is an apocalyptic number.

13936160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668096).

13936160 is an abundant number, since it is smaller than the sum of its proper divisors (25400032).

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

13936160 is a wasteful number, since it uses less digits than its factorization.

13936160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 13936160 is about 3733.1166603791. The cubic root of 13936160 is about 240.6473265391.

The spelling of 13936160 in words is "thirteen million, nine hundred thirty-six thousand, one hundred sixty".