13957920 has 144 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 3711744.

The previous prime is 13957877. The next prime is 13957949. The reversal of 13957920 is 2975931.

13957920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38701 + ... + 39059.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 2^13957920 is an apocalyptic number.

13957920 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 13957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

13957920 is an abundant number, since it is smaller than the sum of its proper divisors (35575200).

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

13957920 is an equidigital number, since it uses as much as digits as its factorization.

13957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13957920 is about 3736.0299784664. The cubic root of 13957920 is about 240.7725107783.

The spelling of 13957920 in words is "thirteen million, nine hundred fifty-seven thousand, nine hundred twenty".