12807564 has 96 divisors (see below), whose sum is σ = 37933056. Its totient is φ = 3266880.

The previous prime is 12807563. The next prime is 12807583. The reversal of 12807564 is 46570821.

12807564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12807564² = 328067391228192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12807563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76609 + ... + 76775.

It is an arithmetic number, because the mean of its divisors is an integer number (395136).

Almost surely, 2^12807564 is an apocalyptic number.

12807564 is a gapful number since it is divisible by the number (14) 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 12807564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966528).

12807564 is an abundant number, since it is smaller than the sum of its proper divisors (25125492).

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

12807564 is a wasteful number, since it uses less digits than its factorization.

12807564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

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

The square root of 12807564 is about 3578.7657090120. The cubic root of 12807564 is about 233.9674876299.

The spelling of 12807564 in words is "twelve million, eight hundred seven thousand, five hundred sixty-four".