39648896 has 128 divisors (see below), whose sum is σ = 101347200. Its totient is φ = 15040512.

The previous prime is 39648883. The next prime is 39648899. The reversal of 39648896 is 69884693.

39648896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39648899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289340 + ... + 289476.

It is an arithmetic number, because the mean of its divisors is an integer number (791775).

Almost surely, 2^39648896 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 39648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673600).

39648896 is an abundant number, since it is smaller than the sum of its proper divisors (61698304).

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

39648896 is a wasteful number, since it uses less digits than its factorization.

39648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 39648896 is about 6296.7369327295. The cubic root of 39648896 is about 340.9916149330.

The spelling of 39648896 in words is "thirty-nine million, six hundred forty-eight thousand, eight hundred ninety-six".