13957320 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3277824.

The previous prime is 13957319. The next prime is 13957331. The reversal of 13957320 is 2375931.

13957320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35686 + ... + 36074.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^13957320 is an apocalyptic number.

13957320 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 13957320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

13957320 is an abundant number, since it is smaller than the sum of its proper divisors (33217080).

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

13957320 is a wasteful number, since it uses less digits than its factorization.

13957320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13957320 is about 3735.9496784620. The cubic root of 13957320 is about 240.7690607520.

The spelling of 13957320 in words is "thirteen million, nine hundred fifty-seven thousand, three hundred twenty".