40566564 has 36 divisors (see below), whose sum is σ = 103609324. Its totient is φ = 13381632.

The previous prime is 40566553. The next prime is 40566619. The reversal of 40566564 is 46566504.

It is a happy number.

40566564 is a `hidden beast` number, since 40 + 56 + 6 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16064064 + 24502500 = 4008^2 + 4950^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40566564² = 3291292229532192, which contains 22 as substring.

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

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, 2317 + ... + 9300.

Almost surely, 2^40566564 is an apocalyptic number.

It is an amenable number.

40566564 is an abundant number, since it is smaller than the sum of its proper divisors (63042760).

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

40566564 is a wasteful number, since it uses less digits than its factorization.

40566564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724 (or 11719 counting only the distinct ones).

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

The square root of 40566564 is about 6369.1886453457. The cubic root of 40566564 is about 343.6023099324.

The spelling of 40566564 in words is "forty million, five hundred sixty-six thousand, five hundred sixty-four".