47873664 has 96 divisors (see below), whose sum is σ = 142611300. Its totient is φ = 15396864.

The previous prime is 47873659. The next prime is 47873687. The reversal of 47873664 is 46637874.

47873664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 1742400 = 6792^2 + 1320^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32692 + ... + 34124.

Almost surely, 2^47873664 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 47873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71305650).

47873664 is an abundant number, since it is smaller than the sum of its proper divisors (94737636).

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

47873664 is a wasteful number, since it uses less digits than its factorization.

47873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1467 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 47873664 is about 6919.0797075912. The cubic root of 47873664 is about 363.1049943308.

The spelling of 47873664 in words is "forty-seven million, eight hundred seventy-three thousand, six hundred sixty-four".