47624864 has 48 divisors (see below), whose sum is σ = 109368000. Its totient is φ = 20405952.

The previous prime is 47624839. The next prime is 47624869. The reversal of 47624864 is 46842674.

It is not an unprimeable number, because it can be changed into a prime (47624869) 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, 8807 + ... + 13145.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 2^47624864 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 47624864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684000).

47624864 is an abundant number, since it is smaller than the sum of its proper divisors (61743136).

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

47624864 is an equidigital number, since it uses as much as digits as its factorization.

47624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4348 counting only the distinct ones).

The product of its digits is 258048, while the sum is 41.

The square root of 47624864 is about 6901.0770173937. The cubic root of 47624864 is about 362.4748811766.

The spelling of 47624864 in words is "forty-seven million, six hundred twenty-four thousand, eight hundred sixty-four".