39966264 has 128 divisors (see below), whose sum is σ = 122707200. Its totient is φ = 11975040.

The previous prime is 39966229. The next prime is 39966271. The reversal of 39966264 is 46266993.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120579 + ... + 120909.

It is an arithmetic number, because the mean of its divisors is an integer number (958650).

Almost surely, 2^39966264 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 39966264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61353600).

39966264 is an abundant number, since it is smaller than the sum of its proper divisors (82740936).

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

39966264 is a wasteful number, since it uses less digits than its factorization.

39966264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 39966264 is about 6321.8876927703. The cubic root of 39966264 is about 341.8990160452.

The spelling of 39966264 in words is "thirty-nine million, nine hundred sixty-six thousand, two hundred sixty-four".