13633920 has 160 divisors (see below), whose sum is σ = 48874320. Its totient is φ = 3621888.

The previous prime is 13633913. The next prime is 13633931. The reversal of 13633920 is 2933631.

13633920 is a `hidden beast` number, since 1 + 3 + 633 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51709 + ... + 51971.

Almost surely, 2^13633920 is an apocalyptic number.

13633920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24437160).

13633920 is an abundant number, since it is smaller than the sum of its proper divisors (35240400).

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

13633920 is an equidigital number, since it uses as much as digits as its factorization.

13633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 13633920 is about 3692.4138446279. The cubic root of 13633920 is about 238.8949194640.

The spelling of 13633920 in words is "thirteen million, six hundred thirty-three thousand, nine hundred twenty".