13680132 has 24 divisors (see below), whose sum is σ = 32004000. Its totient is φ = 4548096.

The previous prime is 13680113. The next prime is 13680167. The reversal of 13680132 is 23108631.

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, 4119 + ... + 6657.

It is an arithmetic number, because the mean of its divisors is an integer number (1333500).

Almost surely, 2^13680132 is an apocalyptic number.

13680132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13680132 is an abundant number, since it is smaller than the sum of its proper divisors (18323868).

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

13680132 is a wasteful number, since it uses less digits than its factorization.

13680132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13680132 is about 3698.6662460947. Note that the first 3 decimals coincide. The cubic root of 13680132 is about 239.1645255237.

Adding to 13680132 its reverse (23108631), we get a palindrome (36788763).

The spelling of 13680132 in words is "thirteen million, six hundred eighty thousand, one hundred thirty-two".