39084960 has 96 divisors (see below), whose sum is σ = 124431552. Its totient is φ = 10311680.

The previous prime is 39084943. The next prime is 39085019. The reversal of 39084960 is 6948093.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50980 + ... + 51740.

It is an arithmetic number, because the mean of its divisors is an integer number (1296162).

Almost surely, 2^39084960 is an apocalyptic number.

39084960 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 39084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62215776).

39084960 is an abundant number, since it is smaller than the sum of its proper divisors (85346592).

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

39084960 is a wasteful number, since it uses less digits than its factorization.

39084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 39084960 is about 6251.7965417950. The cubic root of 39084960 is about 339.3672198224.

The spelling of 39084960 in words is "thirty-nine million, eighty-four thousand, nine hundred sixty".