39904872 has 64 divisors (see below), whose sum is σ = 114756480. Its totient is φ = 11327232.

The previous prime is 39904871. The next prime is 39904913. The reversal of 39904872 is 27840993.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (39904871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28378 + ... + 29750.

It is an arithmetic number, because the mean of its divisors is an integer number (1793070).

Almost surely, 2^39904872 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 39904872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57378240).

39904872 is an abundant number, since it is smaller than the sum of its proper divisors (74851608).

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

39904872 is a wasteful number, since it uses less digits than its factorization.

39904872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 39904872 is about 6317.0303149502. The cubic root of 39904872 is about 341.7238631458.

The spelling of 39904872 in words is "thirty-nine million, nine hundred four thousand, eight hundred seventy-two".