579540 has 48 divisors (see below), whose sum is σ = 1749888. Its totient is φ = 142464.

The previous prime is 579539. The next prime is 579541. The reversal of 579540 is 45975.

It is an interprime number because it is at equal distance from previous prime (579539) and next prime (579541).

It is a super-2 number, since 2×579540² = 671733223200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 579498 and 579507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2⁵⁷⁹⁵⁴⁰ 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 579540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944).

579540 is an abundant number, since it is smaller than the sum of its proper divisors (1170348).

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

579540 is a wasteful number, since it uses less digits than its factorization.

579540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 579540 is about 761.2752458868. The cubic root of 579540 is about 83.3734562343.

The spelling of 579540 in words is "five hundred seventy-nine thousand, five hundred forty".