12664512 has 140 divisors (see below), whose sum is σ = 43027600. Its totient is φ = 3608064.

The previous prime is 12664511. The next prime is 12664517. The reversal of 12664512 is 21546621.

12664512 = 108³ + 109³ + ... + 116³.

12664512 is a `hidden beast` number, since 1 + 2 + 6 + 645 + 12 = 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 (12664511) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36114 + ... + 36462.

It is an arithmetic number, because the mean of its divisors is an integer number (307340).

Almost surely, 2^12664512 is an apocalyptic number.

12664512 is a gapful number since it is divisible by the number (12) 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 12664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21513800).

12664512 is an abundant number, since it is smaller than the sum of its proper divisors (30363088).

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

12664512 is an equidigital number, since it uses as much as digits as its factorization.

12664512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12664512 is about 3558.7233666021. The cubic root of 12664512 is about 233.0931369505.

It can be divided in two parts, 1266 and 4512, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 12664512 in words is "twelve million, six hundred sixty-four thousand, five hundred twelve".