12564720 has 200 divisors, whose sum is σ = 50053344. Its totient is φ = 2861568.

The previous prime is 12564709. The next prime is 12564731. The reversal of 12564720 is 2746521.

12564720 is a `hidden beast` number, since 12 + 5 + 647 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12564709) and next prime (12564731).

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 39 ways as a sum of consecutive naturals, for example, 45222 + ... + 45498.

Almost surely, 2^12564720 is an apocalyptic number.

12564720 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 12564720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25026672).

12564720 is an abundant number, since it is smaller than the sum of its proper divisors (37488624).

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

12564720 is a wasteful number, since it uses less digits than its factorization.

12564720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12564720 is about 3544.6748793084. The cubic root of 12564720 is about 232.4792905592.

The spelling of 12564720 in words is "twelve million, five hundred sixty-four thousand, seven hundred twenty".