40564640 has 96 divisors (see below), whose sum is σ = 102041856. Its totient is φ = 15206400.

The previous prime is 40564637. The next prime is 40564651. The reversal of 40564640 is 4646504.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268565 + ... + 268715.

It is an arithmetic number, because the mean of its divisors is an integer number (1062936).

Almost surely, 2^40564640 is an apocalyptic number.

40564640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51020928).

40564640 is an abundant number, since it is smaller than the sum of its proper divisors (61477216).

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

40564640 is a wasteful number, since it uses less digits than its factorization.

40564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 40564640 is about 6369.0376039085. The cubic root of 40564640 is about 343.5968776976.

The spelling of 40564640 in words is "forty million, five hundred sixty-four thousand, six hundred forty".