13264560 has 200 divisors, whose sum is σ = 48612960. Its totient is φ = 3345408.

The previous prime is 13264547. The next prime is 13264561. The reversal of 13264560 is 6546231.

13264560 is a `hidden beast` number, since 13 + 2 + 645 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13264561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148996 + ... + 149084.

Almost surely, 2^13264560 is an apocalyptic number.

13264560 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 13264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

13264560 is an abundant number, since it is smaller than the sum of its proper divisors (35348400).

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

13264560 is a wasteful number, since it uses less digits than its factorization.

13264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

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

The square root of 13264560 is about 3642.0543653273. The cubic root of 13264560 is about 236.7178182985.

It can be divided in two parts, 13264 and 560, that added together give a cube (13824 = 24³).

The spelling of 13264560 in words is "thirteen million, two hundred sixty-four thousand, five hundred sixty".