39885120 has 168 divisors, whose sum is σ = 149778720. Its totient is φ = 9661440.

The previous prime is 39885113. The next prime is 39885137. The reversal of 39885120 is 2158893.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31051 + ... + 32309.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^39885120 is an apocalyptic number.

39885120 is a gapful number since it is divisible by the number (30) 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 39885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889360).

39885120 is an abundant number, since it is smaller than the sum of its proper divisors (109893600).

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

39885120 is a wasteful number, since it uses less digits than its factorization.

39885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 39885120 is about 6315.4667285958. The cubic root of 39885120 is about 341.6674720055.

The spelling of 39885120 in words is "thirty-nine million, eight hundred eighty-five thousand, one hundred twenty".