39456864 has 72 divisors (see below), whose sum is σ = 118820520. Its totient is φ = 12377088.

The previous prime is 39456841. The next prime is 39456871. The reversal of 39456864 is 46865493.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867 + ... + 8925.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 2^39456864 is an apocalyptic number.

39456864 is a gapful number since it is divisible by the number (34) 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 39456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59410260).

39456864 is an abundant number, since it is smaller than the sum of its proper divisors (79363656).

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

39456864 is a wasteful number, since it uses less digits than its factorization.

39456864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8081 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 39456864 is about 6281.4698916734. The cubic root of 39456864 is about 340.4402141017.

The spelling of 39456864 in words is "thirty-nine million, four hundred fifty-six thousand, eight hundred sixty-four".