4565664 has 72 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1495680.

The previous prime is 4565663. The next prime is 4565669. The reversal of 4565664 is 4665654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (4565663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23809 + ... + 23999.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^4565664 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 4565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4565664 is an abundant number, since it is smaller than the sum of its proper divisors (8643168).

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

4565664 is a wasteful number, since it uses less digits than its factorization.

4565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 4565664 is about 2136.7414443493. The cubic root of 4565664 is about 165.8955165793.

The spelling of 4565664 in words is "four million, five hundred sixty-five thousand, six hundred sixty-four".