13981920 has 48 divisors (see below), whose sum is σ = 44044560. Its totient is φ = 3728384.

The previous prime is 13981901. The next prime is 13981921. The reversal of 13981920 is 2918931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13981921) 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 7 ways as a sum of consecutive naturals, for example, 14085 + ... + 15044.

It is an arithmetic number, because the mean of its divisors is an integer number (917595).

Almost surely, 2^13981920 is an apocalyptic number.

13981920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13981920 is an abundant number, since it is smaller than the sum of its proper divisors (30062640).

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

13981920 is a wasteful number, since it uses less digits than its factorization.

13981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29147 (or 29139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 13981920 is about 3739.2405646067. The cubic root of 13981920 is about 240.9104308371.

The spelling of 13981920 in words is "thirteen million, nine hundred eighty-one thousand, nine hundred twenty".