13657920 has 112 divisors (see below), whose sum is σ = 44549568. Its totient is φ = 3543040.

The previous prime is 13657907. The next prime is 13657939. The reversal of 13657920 is 2975631.

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, 39187 + ... + 39533.

It is an arithmetic number, because the mean of its divisors is an integer number (397764).

Almost surely, 2^13657920 is an apocalyptic number.

13657920 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 13657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22274784).

13657920 is an abundant number, since it is smaller than the sum of its proper divisors (30891648).

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

13657920 is a wasteful number, since it uses less digits than its factorization.

13657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 13657920 is about 3695.6623222367. The cubic root of 13657920 is about 239.0350140983.

The spelling of 13657920 in words is "thirteen million, six hundred fifty-seven thousand, nine hundred twenty".