40565664 has 96 divisors (see below), whose sum is σ = 122472000. Its totient is φ = 13047552.

The previous prime is 40565663. The next prime is 40565683. The reversal of 40565664 is 46656504.

It is a happy number.

40565664 is a `hidden beast` number, since 40 + 56 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (40565663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24247 + ... + 25865.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 2^40565664 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 40565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61236000).

40565664 is an abundant number, since it is smaller than the sum of its proper divisors (81906336).

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

40565664 is a wasteful number, since it uses less digits than its factorization.

40565664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1653 counting only the distinct ones).

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

The square root of 40565664 is about 6369.1179923126. The cubic root of 40565664 is about 343.5997688876.

The spelling of 40565664 in words is "forty million, five hundred sixty-five thousand, six hundred sixty-four".