39985960 has 96 divisors (see below), whose sum is σ = 109330560. Its totient is φ = 13098624.

The previous prime is 39985951. The next prime is 39985987. The reversal of 39985960 is 6958993.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44637 + ... + 45523.

It is an arithmetic number, because the mean of its divisors is an integer number (1138860).

Almost surely, 2^39985960 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 39985960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54665280).

39985960 is an abundant number, since it is smaller than the sum of its proper divisors (69344600).

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

39985960 is a wasteful number, since it uses less digits than its factorization.

39985960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

The square root of 39985960 is about 6323.4452634620. The cubic root of 39985960 is about 341.9551712157.

The spelling of 39985960 in words is "thirty-nine million, nine hundred eighty-five thousand, nine hundred sixty".