12764160 has 132 divisors (see below), whose sum is σ = 44387148. Its totient is φ = 3391488.

The previous prime is 12764099. The next prime is 12764173. The reversal of 12764160 is 6146721.

12764160 is a `hidden beast` number, since 12 + 7 + 641 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 9437184 = 1824^2 + 3072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45942 + ... + 46218.

Almost surely, 2^12764160 is an apocalyptic number.

12764160 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 12764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22193574).

12764160 is an abundant number, since it is smaller than the sum of its proper divisors (31622988).

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

12764160 is a wasteful number, since it uses less digits than its factorization.

12764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12764160 is about 3572.6964606583. The cubic root of 12764160 is about 233.7028883101.

The spelling of 12764160 in words is "twelve million, seven hundred sixty-four thousand, one hundred sixty".