13581880 has 32 divisors (see below), whose sum is σ = 32911200. Its totient is φ = 5014656.

The previous prime is 13581863. The next prime is 13581899. The reversal of 13581880 is 8818531.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12540 + ... + 13579.

It is an arithmetic number, because the mean of its divisors is an integer number (1028475).

Almost surely, 2^13581880 is an apocalyptic number.

13581880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13581880 is an abundant number, since it is smaller than the sum of its proper divisors (19329320).

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

13581880 is a wasteful number, since it uses less digits than its factorization.

13581880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26143 (or 26139 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 13581880 is about 3685.3602266264. The cubic root of 13581880 is about 238.5905818805.

The spelling of 13581880 in words is "thirteen million, five hundred eighty-one thousand, eight hundred eighty".