47664864 has 144 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 14128128.

The previous prime is 47664853. The next prime is 47664871. The reversal of 47664864 is 46846674.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108357 + ... + 108795.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 2^47664864 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 47664864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

47664864 is an abundant number, since it is smaller than the sum of its proper divisors (103686336).

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

47664864 is a wasteful number, since it uses less digits than its factorization.

47664864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 47664864 is about 6903.9745074848. The cubic root of 47664864 is about 362.5763333503.

The spelling of 47664864 in words is "forty-seven million, six hundred sixty-four thousand, eight hundred sixty-four".