3126564 has 72 divisors (see below), whose sum is σ = 9522240. Its totient is φ = 844992.

The previous prime is 3126559. The next prime is 3126653. The reversal of 3126564 is 4656213.

3126564 is a `hidden beast` number, since 3 + 1 + 2 + 656 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4462 + ... + 5114.

Almost surely, 2^3126564 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 3126564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761120).

3126564 is an abundant number, since it is smaller than the sum of its proper divisors (6395676).

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

3126564 is a wasteful number, since it uses less digits than its factorization.

3126564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 684 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3126564 is about 1768.2092636337. The cubic root of 3126564 is about 146.2252730495.

It can be divided in two parts, 31265 and 64, that added together give a square (31329 = 177²).

The spelling of 3126564 in words is "three million, one hundred twenty-six thousand, five hundred sixty-four".