13640580 has 36 divisors (see below), whose sum is σ = 41376972. Its totient is φ = 3637440.

The previous prime is 13640567. The next prime is 13640581. The reversal of 13640580 is 8504631.

13640580 is a `hidden beast` number, since 13 + 640 + 5 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3755844 + 9884736 = 1938^2 + 3144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13640581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37711 + ... + 38070.

Almost surely, 2^13640580 is an apocalyptic number.

13640580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13640580 is an abundant number, since it is smaller than the sum of its proper divisors (27736392).

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

13640580 is a wasteful number, since it uses less digits than its factorization.

13640580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75796 (or 75791 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13640580 is about 3693.3155835915. The cubic root of 13640580 is about 238.9338121954.

The spelling of 13640580 in words is "thirteen million, six hundred forty thousand, five hundred eighty".