13632800 has 36 divisors (see below), whose sum is σ = 33283026. Its totient is φ = 5452800.

The previous prime is 13632791. The next prime is 13632821. The reversal of 13632800 is 823631.

It can be written as a sum of positive squares in 3 ways, for example, as 12475024 + 1157776 = 3532^2 + 1076^2 .

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7721 + ... + 9320.

Almost surely, 2^13632800 is an apocalyptic number.

13632800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13632800 is an abundant number, since it is smaller than the sum of its proper divisors (19650226).

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

13632800 is a wasteful number, since it uses less digits than its factorization.

13632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17061 (or 17048 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 13632800 is about 3692.2621792067. The cubic root of 13632800 is about 238.8883777006. Note that the first 3 decimals are identical.

The spelling of 13632800 in words is "thirteen million, six hundred thirty-two thousand, eight hundred".