39504960 has 336 divisors, whose sum is σ = 156911040. Its totient is φ = 9031680.

The previous prime is 39504893. The next prime is 39504973. The reversal of 39504960 is 6940593.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918699 + ... + 918741.

Almost surely, 2^39504960 is an apocalyptic number.

39504960 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 39504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78455520).

39504960 is an abundant number, since it is smaller than the sum of its proper divisors (117406080).

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

39504960 is a wasteful number, since it uses less digits than its factorization.

39504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 39504960 is about 6285.2971290147. The cubic root of 39504960 is about 340.5784846282.

The spelling of 39504960 in words is "thirty-nine million, five hundred four thousand, nine hundred sixty".