4652564 has 24 divisors (see below), whose sum is σ = 9414720. Its totient is φ = 1970496.

The previous prime is 4652551. The next prime is 4652567.

4652564 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4652564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4652567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1559 + ... + 3425.

It is an arithmetic number, because the mean of its divisors is an integer number (392280).

Almost surely, 2^4652564 is an apocalyptic number.

It is an amenable number.

4652564 is an abundant number, since it is smaller than the sum of its proper divisors (4762156).

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

4652564 is a wasteful number, since it uses less digits than its factorization.

4652564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1965 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 4652564 is about 2156.9802966184. The cubic root of 4652564 is about 166.9414259064.

The spelling of 4652564 in words is "four million, six hundred fifty-two thousand, five hundred sixty-four".