39985120 has 96 divisors (see below), whose sum is σ = 113702400. Its totient is φ = 12980736.

The previous prime is 39985111. The next prime is 39985129. The reversal of 39985120 is 2158993.

It is an interprime number because it is at equal distance from previous prime (39985111) and next prime (39985129).

It is a self number, because there is not a number n which added to its sum of digits gives 39985120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39985129) 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, 20341 + ... + 22219.

It is an arithmetic number, because the mean of its divisors is an integer number (1184400).

Almost surely, 2^39985120 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 39985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56851200).

39985120 is an abundant number, since it is smaller than the sum of its proper divisors (73717280).

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

39985120 is a wasteful number, since it uses less digits than its factorization.

39985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 39985120 is about 6323.3788436247. The cubic root of 39985120 is about 341.9527766723.

The spelling of 39985120 in words is "thirty-nine million, nine hundred eighty-five thousand, one hundred twenty".