4637664 has 36 divisors (see below), whose sum is σ = 13189176. Its totient is φ = 1545792.

The previous prime is 4637657. The next prime is 4637669. The reversal of 4637664 is 4667364.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4637669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7764 + ... + 8339.

It is an arithmetic number, because the mean of its divisors is an integer number (366366).

Almost surely, 2^4637664 is an apocalyptic number.

It is an amenable number.

4637664 is an abundant number, since it is smaller than the sum of its proper divisors (8551512).

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

4637664 is a wasteful number, since it uses less digits than its factorization.

4637664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16119 (or 16108 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 4637664 is about 2153.5236242029. The cubic root of 4637664 is about 166.7630233927.

The spelling of 4637664 in words is "four million, six hundred thirty-seven thousand, six hundred sixty-four".