13782160 has 40 divisors (see below), whose sum is σ = 36622656. Its totient is φ = 4725120.

The previous prime is 13782149. The next prime is 13782169. The reversal of 13782160 is 6128731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13782169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11746 + ... + 12865.

Almost surely, 2^13782160 is an apocalyptic number.

13782160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782160 is an abundant number, since it is smaller than the sum of its proper divisors (22840496).

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

13782160 is a wasteful number, since it uses less digits than its factorization.

13782160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24631 (or 24625 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 13782160 is about 3712.4331643815. The cubic root of 13782160 is about 239.7576256806.

The spelling of 13782160 in words is "thirteen million, seven hundred eighty-two thousand, one hundred sixty".