47633664 has 108 divisors (see below), whose sum is σ = 137651136. Its totient is φ = 14616576.

The previous prime is 47633657. The next prime is 47633671. The reversal of 47633664 is 46633674.

It is an interprime number because it is at equal distance from previous prime (47633657) and next prime (47633671).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129609 + ... + 129975.

Almost surely, 2^47633664 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 47633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68825568).

47633664 is an abundant number, since it is smaller than the sum of its proper divisors (90017472).

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

47633664 is a wasteful number, since it uses less digits than its factorization.

47633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 385 counting only the distinct ones).

The product of its digits is 217728, while the sum is 39.

The square root of 47633664 is about 6901.7145695834. The cubic root of 47633664 is about 362.4972055274.

The spelling of 47633664 in words is "forty-seven million, six hundred thirty-three thousand, six hundred sixty-four".