13688920 has 32 divisors (see below), whose sum is σ = 35200800. Its totient is φ = 4693248.

The previous prime is 13688897. The next prime is 13688929. The reversal of 13688920 is 2988631.

It is a self number, because there is not a number n which added to its sum of digits gives 13688920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13688929) 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, 24165 + ... + 24724.

It is an arithmetic number, because the mean of its divisors is an integer number (1100025).

Almost surely, 2^13688920 is an apocalyptic number.

13688920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13688920 is an abundant number, since it is smaller than the sum of its proper divisors (21511880).

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

13688920 is a wasteful number, since it uses less digits than its factorization.

13688920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48907 (or 48903 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 13688920 is about 3699.8540511755. The cubic root of 13688920 is about 239.2157269779.

The spelling of 13688920 in words is "thirteen million, six hundred eighty-eight thousand, nine hundred twenty".