13935120 has 80 divisors (see below), whose sum is σ = 44616192. Its totient is φ = 3594240.

The previous prime is 13935107. The next prime is 13935133. The reversal of 13935120 is 2153931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13935107) and next prime (13935133).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6504 + ... + 8376.

Almost surely, 2^13935120 is an apocalyptic number.

13935120 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 13935120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308096).

13935120 is an abundant number, since it is smaller than the sum of its proper divisors (30681072).

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

13935120 is a wasteful number, since it uses less digits than its factorization.

13935120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 13935120 is about 3732.9773639817. The cubic root of 13935120 is about 240.6413402070.

The spelling of 13935120 in words is "thirteen million, nine hundred thirty-five thousand, one hundred twenty".