4580064 has 144 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1399680.

The previous prime is 4580041. The next prime is 4580077. The reversal of 4580064 is 4600854.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147729 + ... + 147759.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

Almost surely, 2^4580064 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 4580064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4580064 is an abundant number, since it is smaller than the sum of its proper divisors (10096416).

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

4580064 is a wasteful number, since it uses less digits than its factorization.

4580064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4580064 is about 2140.1084084691. The cubic root of 4580064 is about 166.0697437617.

The spelling of 4580064 in words is "four million, five hundred eighty thousand, sixty-four".