47627664 has 80 divisors (see below), whose sum is σ = 146752512. Its totient is φ = 13014144.

The previous prime is 47627633. The next prime is 47627683. The reversal of 47627664 is 46672674.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4647 + ... + 10809.

Almost surely, 2^47627664 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 47627664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73376256).

47627664 is an abundant number, since it is smaller than the sum of its proper divisors (99124848).

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

47627664 is a wasteful number, since it uses less digits than its factorization.

47627664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6198 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 47627664 is about 6901.2798812974. The cubic root of 47627664 is about 362.4819846774.

The spelling of 47627664 in words is "forty-seven million, six hundred twenty-seven thousand, six hundred sixty-four".