13965520 has 20 divisors (see below), whose sum is σ = 32470020. Its totient is φ = 5586176.

The previous prime is 13965503. The next prime is 13965521. The reversal of 13965520 is 2556931.

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 7795264 = 2484^2 + 2792^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13965521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87205 + ... + 87364.

It is an arithmetic number, because the mean of its divisors is an integer number (1623501).

Almost surely, 2^13965520 is an apocalyptic number.

13965520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13965520 is an abundant number, since it is smaller than the sum of its proper divisors (18504500).

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

13965520 is a wasteful number, since it uses less digits than its factorization.

13965520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174582 (or 174576 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 13965520 is about 3737.0469625093. The cubic root of 13965520 is about 240.8162025573.

The spelling of 13965520 in words is "thirteen million, nine hundred sixty-five thousand, five hundred twenty".