13980564 has 36 divisors (see below), whose sum is σ = 38059476. Its totient is φ = 4301568.

The previous prime is 13980559. The next prime is 13980583. The reversal of 13980564 is 46508931.

13980564 is a `hidden beast` number, since 1 + 3 + 98 + 0 + 564 = 666.

13980564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 5616900 = 2892^2 + 2370^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14469 + ... + 15404.

Almost surely, 2^13980564 is an apocalyptic number.

It is an amenable number.

13980564 is an abundant number, since it is smaller than the sum of its proper divisors (24078912).

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

13980564 is a wasteful number, since it uses less digits than its factorization.

13980564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29896 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13980564 is about 3739.0592399693. The cubic root of 13980564 is about 240.9026425623.

The spelling of 13980564 in words is "thirteen million, nine hundred eighty thousand, five hundred sixty-four".