40664 has 32 divisors (see below), whose sum is σ = 90720. Its totient is φ = 16896.

The previous prime is 40639. The next prime is 40693. The reversal of 40664 is 46604.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1757 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2⁴⁰⁶⁶⁴ 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 40664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

40664 is an abundant number, since it is smaller than the sum of its proper divisors (50056).

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

40664 is a wasteful number, since it uses less digits than its factorization.

40664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40664 is about 201.6531675923. The cubic root of 40664 is about 34.3877187095.

The spelling of 40664 in words is "forty thousand, six hundred sixty-four".