13965120 has 168 divisors, whose sum is σ = 51867816. Its totient is φ = 3428352.

The previous prime is 13965113. The next prime is 13965139. The reversal of 13965120 is 2156931.

13965120 is a `hidden beast` number, since 1 + 3 + 9 + 651 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 13660416 = 552^2 + 3696^2 .

It is a super-2 number, since 2×13965120² = 390049153228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 37254 + ... + 37626.

It is an arithmetic number, because the mean of its divisors is an integer number (308737).

Almost surely, 2^13965120 is an apocalyptic number.

13965120 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 13965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933908).

13965120 is an abundant number, since it is smaller than the sum of its proper divisors (37902696).

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

13965120 is a wasteful number, since it uses less digits than its factorization.

13965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13965120 is about 3736.9934439332. The cubic root of 13965120 is about 240.8139033852.

The spelling of 13965120 in words is "thirteen million, nine hundred sixty-five thousand, one hundred twenty".