4564160 has 56 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1716224.

The previous prime is 4564151. The next prime is 4564193. The reversal of 4564160 is 614654.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5021 + ... + 5859.

It is an arithmetic number, because the mean of its divisors is an integer number (205740).

Almost surely, 2^4564160 is an apocalyptic number.

4564160 is a gapful number since it is divisible by the number (40) 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 4564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

4564160 is an abundant number, since it is smaller than the sum of its proper divisors (6957280).

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

4564160 is a wasteful number, since it uses less digits than its factorization.

4564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4564160 is about 2136.3894776000. The cubic root of 4564160 is about 165.8772983998.

The spelling of 4564160 in words is "four million, five hundred sixty-four thousand, one hundred sixty".