42257664 has 54 divisors (see below), whose sum is σ = 121845906. Its totient is φ = 14085120.

The previous prime is 42257659. The next prime is 42257687. The reversal of 42257664 is 46675224.

42257664 is a `hidden beast` number, since 4 + 22 + 576 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 14379264 = 5280^2 + 3792^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6867 + ... + 11474.

Almost surely, 2^42257664 is an apocalyptic number.

It is an amenable number.

42257664 is an abundant number, since it is smaller than the sum of its proper divisors (79588242).

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

42257664 is a wasteful number, since it uses less digits than its factorization.

42257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18363 (or 18346 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42257664 is about 6500.5895117289. The cubic root of 42257664 is about 348.3120467038.

The spelling of 42257664 in words is "forty-two million, two hundred fifty-seven thousand, six hundred sixty-four".