13662720 has 120 divisors (see below), whose sum is σ = 47397636. Its totient is φ = 3637248.

The previous prime is 13662709. The next prime is 13662721. The reversal of 13662720 is 2726631.

It is a happy number.

13662720 is a `hidden beast` number, since 1 + 36 + 627 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 2304 = 3696^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13662721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22744 + ... + 23336.

Almost surely, 2^13662720 is an apocalyptic number.

13662720 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 13662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698818).

13662720 is an abundant number, since it is smaller than the sum of its proper divisors (33734916).

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

13662720 is an equidigital number, since it uses as much as digits as its factorization.

13662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13662720 is about 3696.3116751703. The cubic root of 13662720 is about 239.0630133271.

The spelling of 13662720 in words is "thirteen million, six hundred sixty-two thousand, seven hundred twenty".