576960 has 56 divisors (see below), whose sum is σ = 1834896. Its totient is φ = 153600.

The previous prime is 576949. The next prime is 576967. The reversal of 576960 is 69675.

576960 = T₁₀₁ + T₁₀₂ + ... + T₁₆₄.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 576960.

It is not an unprimeable number, because it can be changed into a prime (576967) 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, 660 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (32766).

2⁵⁷⁶⁹⁶⁰ 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 576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917448).

576960 is an abundant number, since it is smaller than the sum of its proper divisors (1257936).

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

576960 is a wasteful number, since it uses less digits than its factorization.

576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 576960 is about 759.5788306687. The cubic root of 576960 is about 83.2495513507.

The spelling of 576960 in words is "five hundred seventy-six thousand, nine hundred sixty".