578960 has 20 divisors (see below), whose sum is σ = 1346268. Its totient is φ = 231552.

The previous prime is 578959. The next prime is 578971. The reversal of 578960 is 69875.

578960 = T₁₇₄ + T₁₇₅ + ... + T₂₀₅.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 283024 = 544^2 + 532^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 578960.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3539 + ... + 3698.

2⁵⁷⁸⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

578960 is an abundant number, since it is smaller than the sum of its proper divisors (767308).

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

578960 is a wasteful number, since it uses less digits than its factorization.

578960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 578960 is about 760.8942107810. The cubic root of 578960 is about 83.3456337399.

The spelling of 578960 in words is "five hundred seventy-eight thousand, nine hundred sixty".