12764580 has 48 divisors (see below), whose sum is σ = 37625280. Its totient is φ = 3224448.

The previous prime is 12764579. The next prime is 12764581. The reversal of 12764580 is 8546721.

12764580 = T₂₈₃ + T₂₈₄ + ... + T₄₆₂.

It is an interprime number because it is at equal distance from previous prime (12764579) and next prime (12764581).

It is not an unprimeable number, because it can be changed into a prime (12764581) 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, 4459 + ... + 6738.

It is an arithmetic number, because the mean of its divisors is an integer number (783860).

Almost surely, 2^12764580 is an apocalyptic number.

12764580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12764580 is an abundant number, since it is smaller than the sum of its proper divisors (24860700).

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

12764580 is a wasteful number, since it uses less digits than its factorization.

12764580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11228 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12764580 is about 3572.7552393076. The cubic root of 12764580 is about 233.7054515846.

The spelling of 12764580 in words is "twelve million, seven hundred sixty-four thousand, five hundred eighty".