47656864 has 48 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 22325760.

The previous prime is 47656849. The next prime is 47656867. The reversal of 47656864 is 46865674.

It is not an unprimeable number, because it can be changed into a prime (47656867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62244 + ... + 63004.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^47656864 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 47656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

47656864 is an abundant number, since it is smaller than the sum of its proper divisors (52195616).

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

47656864 is a wasteful number, since it uses less digits than its factorization.

47656864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 47656864 is about 6903.3951067573. The cubic root of 47656864 is about 362.5560474575.

The spelling of 47656864 in words is "forty-seven million, six hundred fifty-six thousand, eight hundred sixty-four".