13642560 has 112 divisors (see below), whose sum is σ = 48158400. Its totient is φ = 3635712.

The previous prime is 13642553. The next prime is 13642561. The reversal of 13642560 is 6524631.

13642560 is a `hidden beast` number, since 13 + 642 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×13642560² = 372238886707200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7851 + ... + 9429.

Almost surely, 2^13642560 is an apocalyptic number.

13642560 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 13642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24079200).

13642560 is an abundant number, since it is smaller than the sum of its proper divisors (34515840).

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

13642560 is a wasteful number, since it uses less digits than its factorization.

13642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13642560 is about 3693.5836256947. The cubic root of 13642560 is about 238.9453724580.

The spelling of 13642560 in words is "thirteen million, six hundred forty-two thousand, five hundred sixty".