4584960 has 120 divisors (see below), whose sum is σ = 15958800. Its totient is φ = 1216512.

The previous prime is 4584959. The next prime is 4584971. The reversal of 4584960 is 694854.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22941 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (132990).

Almost surely, 2^4584960 is an apocalyptic number.

4584960 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 4584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979400).

4584960 is an abundant number, since it is smaller than the sum of its proper divisors (11373840).

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

4584960 is a wasteful number, since it uses less digits than its factorization.

4584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4584960 is about 2141.2519702268. The cubic root of 4584960 is about 166.1288978053.

The spelling of 4584960 in words is "four million, five hundred eighty-four thousand, nine hundred sixty".