12762864 has 60 divisors (see below), whose sum is σ = 35960496. Its totient is φ = 4225536.

The previous prime is 12762863. The next prime is 12762881. The reversal of 12762864 is 46826721.

12762864 is a `hidden beast` number, since 1 + 27 + 628 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12762863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37704 + ... + 38040.

Almost surely, 2^12762864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12762864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980248).

12762864 is an abundant number, since it is smaller than the sum of its proper divisors (23197632).

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

12762864 is a wasteful number, since it uses less digits than its factorization.

12762864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 605 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12762864 is about 3572.5150804440. The cubic root of 12762864 is about 233.6949784230.

The spelling of 12762864 in words is "twelve million, seven hundred sixty-two thousand, eight hundred sixty-four".