13682960 has 40 divisors (see below), whose sum is σ = 33687576. Its totient is φ = 5150720.

The previous prime is 13682951. The next prime is 13683013. The reversal of 13682960 is 6928631.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 10471696 = 1792^2 + 3236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13682960.

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, 3671 + ... + 6390.

Almost surely, 2^13682960 is an apocalyptic number.

13682960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13682960 is an abundant number, since it is smaller than the sum of its proper divisors (20004616).

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

13682960 is a wasteful number, since it uses less digits than its factorization.

13682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 13682960 is about 3699.0485263105. The cubic root of 13682960 is about 239.1810046697.

The spelling of 13682960 in words is "thirteen million, six hundred eighty-two thousand, nine hundred sixty".