39966564 has 48 divisors (see below), whose sum is σ = 105025536. Its totient is φ = 11719200.

The previous prime is 39966547. The next prime is 39966569. The reversal of 39966564 is 46566993.

It is a happy number.

39966564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39966569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (2188032).

Almost surely, 2^39966564 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 39966564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52512768).

39966564 is an abundant number, since it is smaller than the sum of its proper divisors (65058972).

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

39966564 is a wasteful number, since it uses less digits than its factorization.

39966564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816 (or 9814 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 48.

The square root of 39966564 is about 6321.9114198160. The cubic root of 39966564 is about 341.8998715121.

The spelling of 39966564 in words is "thirty-nine million, nine hundred sixty-six thousand, five hundred sixty-four".