13957120 has 96 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 5275648.

The previous prime is 13957117. The next prime is 13957171. The reversal of 13957120 is 2175931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296937 + ... + 296983.

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

Almost surely, 2^13957120 is an apocalyptic number.

13957120 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 13957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13957120 is an abundant number, since it is smaller than the sum of its proper divisors (21423680).

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

13957120 is an equidigital number, since it uses as much as digits as its factorization.

13957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 13957120 is about 3735.9229114102. The cubic root of 13957120 is about 240.7679107212.

It can be divided in two parts, 1395 and 7120, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 13957120 in words is "thirteen million, nine hundred fifty-seven thousand, one hundred twenty".