13731880 has 32 divisors (see below), whose sum is σ = 31062240. Its totient is φ = 5463360.

The previous prime is 13731871. The next prime is 13731881. The reversal of 13731880 is 8813731.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13731881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7627 + ... + 9253.

It is an arithmetic number, because the mean of its divisors is an integer number (970695).

Almost surely, 2^13731880 is an apocalyptic number.

13731880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13731880 is an abundant number, since it is smaller than the sum of its proper divisors (17330360).

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

13731880 is a wasteful number, since it uses less digits than its factorization.

13731880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 13731880 is about 3705.6551377590. The cubic root of 13731880 is about 239.4657095881.

The spelling of 13731880 in words is "thirteen million, seven hundred thirty-one thousand, eight hundred eighty".