579840 has 72 divisors (see below), whose sum is σ = 1864128. Its totient is φ = 153600.

The previous prime is 579829. The next prime is 579851. The reversal of 579840 is 48975.

It is an interprime number because it is at equal distance from previous prime (579829) and next prime (579851).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3765 + ... + 3915.

2⁵⁷⁹⁸⁴⁰ 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 579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932064).

579840 is an abundant number, since it is smaller than the sum of its proper divisors (1284288).

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

579840 is a wasteful number, since it uses less digits than its factorization.

579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 579840 is about 761.4722581946. The cubic root of 579840 is about 83.3878398962.

The spelling of 579840 in words is "five hundred seventy-nine thousand, eight hundred forty".