576640 has 64 divisors (see below), whose sum is σ = 1487160. Its totient is φ = 212992.

The previous prime is 576637. The next prime is 576647. The reversal of 576640 is 46675.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 23104 = 744^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 576599 and 576608.

It is not an unprimeable number, because it can be changed into a prime (576647) 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, 10854 + ... + 10906.

2⁵⁷⁶⁶⁴⁰ 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 576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743580).

576640 is an abundant number, since it is smaller than the sum of its proper divisors (910520).

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

576640 is a wasteful number, since it uses less digits than its factorization.

576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 576640 is about 759.3681584054. The cubic root of 576640 is about 83.2341575724.

The spelling of 576640 in words is "five hundred seventy-six thousand, six hundred forty".