4564164 has 48 divisors (see below), whose sum is σ = 11805696. Its totient is φ = 1360800.

The previous prime is 4564151. The next prime is 4564193. The reversal of 4564164 is 4614654.

Its product of digits (11520) is a multiple of the sum of its prime factors (576).

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, 9129 + ... + 9615.

It is an arithmetic number, because the mean of its divisors is an integer number (245952).

Almost surely, 2^4564164 is an apocalyptic number.

4564164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4564164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902848).

4564164 is an abundant number, since it is smaller than the sum of its proper divisors (7241532).

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

4564164 is a wasteful number, since it uses less digits than its factorization.

4564164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 4564164 is about 2136.3904137587. The cubic root of 4564164 is about 165.8773468577.

The spelling of 4564164 in words is "four million, five hundred sixty-four thousand, one hundred sixty-four".