4817664 has 144 divisors (see below), whose sum is σ = 15452640. Its totient is φ = 1474560.

The previous prime is 4817663. The next prime is 4817669. The reversal of 4817664 is 4667184.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (63).

It is not an unprimeable number, because it can be changed into a prime (4817663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117484 + ... + 117524.

It is an arithmetic number, because the mean of its divisors is an integer number (107310).

Almost surely, 2^4817664 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 4817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320).

4817664 is an abundant number, since it is smaller than the sum of its proper divisors (10634976).

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

4817664 is a wasteful number, since it uses less digits than its factorization.

4817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4817664 is about 2194.9177661133. The cubic root of 4817664 is about 168.8932019007.

The spelling of 4817664 in words is "four million, eight hundred seventeen thousand, six hundred sixty-four".