39966912 has 112 divisors (see below), whose sum is σ = 119176800. Its totient is φ = 13132800.

The previous prime is 39966889. The next prime is 39966917. The reversal of 39966912 is 21966993.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (39966917) 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, 174414 + ... + 174642.

Almost surely, 2^39966912 is an apocalyptic number.

39966912 is a gapful number since it is divisible by the number (32) 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 39966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59588400).

39966912 is an abundant number, since it is smaller than the sum of its proper divisors (79209888).

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

39966912 is a wasteful number, since it uses less digits than its factorization.

39966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 39966912 is about 6321.9389430775. The cubic root of 39966912 is about 341.9008638483.

The spelling of 39966912 in words is "thirty-nine million, nine hundred sixty-six thousand, nine hundred twelve".