40656564 has 72 divisors (see below), whose sum is σ = 111831720. Its totient is φ = 12379392.

The previous prime is 40656541. The next prime is 40656569. The reversal of 40656564 is 46565604.

It is a happy number.

40656564 is a `hidden beast` number, since 40 + 6 + 56 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3348900 + 37307664 = 1830^2 + 6108^2 .

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 (40656569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50614 + ... + 51410.

Almost surely, 2^40656564 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 40656564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55915860).

40656564 is an abundant number, since it is smaller than the sum of its proper divisors (71175156).

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

40656564 is a wasteful number, since it uses less digits than its factorization.

40656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 40656564 is about 6376.2499950990. The cubic root of 40656564 is about 343.8562248462.

The spelling of 40656564 in words is "forty million, six hundred fifty-six thousand, five hundred sixty-four".