47712864 has 48 divisors (see below), whose sum is σ = 125601840. Its totient is φ = 15859200.

The previous prime is 47712839. The next prime is 47712877. The reversal of 47712864 is 46821774.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66942 + ... + 67650.

It is an arithmetic number, because the mean of its divisors is an integer number (2616705).

Almost surely, 2^47712864 is an apocalyptic number.

It is an amenable number.

47712864 is an abundant number, since it is smaller than the sum of its proper divisors (77888976).

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

47712864 is a wasteful number, since it uses less digits than its factorization.

47712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1415 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 47712864 is about 6907.4498912406. The cubic root of 47712864 is about 362.6980010652.

The spelling of 47712864 in words is "forty-seven million, seven hundred twelve thousand, eight hundred sixty-four".