579768 has 96 divisors (see below), whose sum is σ = 1846800. Its totient is φ = 150528.

The previous prime is 579763. The next prime is 579773. The reversal of 579768 is 867975.

It is an interprime number because it is at equal distance from previous prime (579763) and next prime (579773).

It is a super-2 number, since 2×579768² = 672261867648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19978 + ... + 20006.

2⁵⁷⁹⁷⁶⁸ is an apocalyptic number.

579768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 579768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923400).

579768 is an abundant number, since it is smaller than the sum of its proper divisors (1267032).

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

579768 is a wasteful number, since it uses less digits than its factorization.

579768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 579768 is about 761.4249798897. The cubic root of 579768 is about 83.3843882699.

The spelling of 579768 in words is "five hundred seventy-nine thousand, seven hundred sixty-eight".