39507968 has 48 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 19456000.

The previous prime is 39507961. The next prime is 39507989. The reversal of 39507968 is 86970593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39507961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206753 + ... + 206943.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^39507968 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 39507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

39507968 is an abundant number, since it is smaller than the sum of its proper divisors (40688512).

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

39507968 is a wasteful number, since it uses less digits than its factorization.

39507968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 39507968 is about 6285.5364130677. The cubic root of 39507968 is about 340.5871285561.

The spelling of 39507968 in words is "thirty-nine million, five hundred seven thousand, nine hundred sixty-eight".