4967664 has 80 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 1444608.

The previous prime is 4967659. The next prime is 4967681. The reversal of 4967664 is 4667694.

It is a congruent number.

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, 11647 + ... + 12065.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^4967664 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 4967664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291200).

4967664 is an abundant number, since it is smaller than the sum of its proper divisors (9614736).

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

4967664 is a wasteful number, since it uses less digits than its factorization.

4967664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 4967664 is about 2228.8256997800. The cubic root of 4967664 is about 170.6281719278.

The spelling of 4967664 in words is "four million, nine hundred sixty-seven thousand, six hundred sixty-four".