39668688 has 60 divisors (see below), whose sum is σ = 112388640. Its totient is φ = 13059648.

The previous prime is 39668687. The next prime is 39668729. The reversal of 39668688 is 88686693.

39668688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39668687) 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 11 ways as a sum of consecutive naturals, for example, 10293 + ... + 13611.

It is an arithmetic number, because the mean of its divisors is an integer number (1873144).

Almost surely, 2^39668688 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 39668688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56194320).

39668688 is an abundant number, since it is smaller than the sum of its proper divisors (72719952).

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

39668688 is a wasteful number, since it uses less digits than its factorization.

39668688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3407 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 39668688 is about 6298.3083443096. The cubic root of 39668688 is about 341.0483444098.

The spelling of 39668688 in words is "thirty-nine million, six hundred sixty-eight thousand, six hundred eighty-eight".