12764520 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3324672.

The previous prime is 12764513. The next prime is 12764533. The reversal of 12764520 is 2546721.

12764520 is a `hidden beast` number, since 12 + 7 + 645 + 2 + 0 = 666.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57129 + ... + 57351.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^12764520 is an apocalyptic number.

12764520 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 12764520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

12764520 is an abundant number, since it is smaller than the sum of its proper divisors (30781080).

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

12764520 is a wasteful number, since it uses less digits than its factorization.

12764520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

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

The square root of 12764520 is about 3572.7468424169. The cubic root of 12764520 is about 233.7050854060.

The spelling of 12764520 in words is "twelve million, seven hundred sixty-four thousand, five hundred twenty".