13633680 has 40 divisors (see below), whose sum is σ = 42265152. Its totient is φ = 3635584.

The previous prime is 13633679. The next prime is 13633691. The reversal of 13633680 is 8633631.

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

It is a super-3 number, since 3×13633680³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28164 + ... + 28643.

Almost surely, 2^13633680 is an apocalyptic number.

13633680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13633680 is an abundant number, since it is smaller than the sum of its proper divisors (28631472).

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

13633680 is a wasteful number, since it uses less digits than its factorization.

13633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56823 (or 56817 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 13633680 is about 3692.3813454192. The cubic root of 13633680 is about 238.8935176877.

The spelling of 13633680 in words is "thirteen million, six hundred thirty-three thousand, six hundred eighty".