13629960 has 48 divisors (see below), whose sum is σ = 44298540. Its totient is φ = 3634560.

The previous prime is 13629929. The next prime is 13629989. The reversal of 13629960 is 6992631.

It can be written as a sum of positive squares in 2 ways, for example, as 12830724 + 799236 = 3582^2 + 894^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18571 + ... + 19290.

Almost surely, 2^13629960 is an apocalyptic number.

13629960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13629960 is an abundant number, since it is smaller than the sum of its proper divisors (30668580).

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

13629960 is a wasteful number, since it uses less digits than its factorization.

13629960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37878 (or 37871 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 13629960 is about 3691.8775711012. The cubic root of 13629960 is about 238.8717880514.

The spelling of 13629960 in words is "thirteen million, six hundred twenty-nine thousand, nine hundred sixty".