13931680 has 72 divisors (see below), whose sum is σ = 38308788. Its totient is φ = 4773888.

The previous prime is 13931669. The next prime is 13931681. The reversal of 13931680 is 8613931.

It can be written as a sum of positive squares in 2 ways, for example, as 13868176 + 63504 = 3724^2 + 252^2 .

It is not an unprimeable number, because it can be changed into a prime (13931681) 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, 6952 + ... + 8728.

Almost surely, 2^13931680 is an apocalyptic number.

13931680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19154394).

13931680 is an abundant number, since it is smaller than the sum of its proper divisors (24377108).

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

13931680 is a wasteful number, since it uses less digits than its factorization.

13931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 13931680 is about 3732.5165773242. The cubic root of 13931680 is about 240.6215371402.

The spelling of 13931680 in words is "thirteen million, nine hundred thirty-one thousand, six hundred eighty".