576768 has 36 divisors (see below), whose sum is σ = 1537088. Its totient is φ = 192000.

The previous prime is 576757. The next prime is 576769. The reversal of 576768 is 867675.

It is a super-2 number, since 2×576768² = 665322651648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576769) by changing a digit.

576768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393 + ... + 1143.

2⁵⁷⁶⁷⁶⁸ 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 576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768544).

576768 is an abundant number, since it is smaller than the sum of its proper divisors (960320).

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

576768 is an equidigital number, since it uses as much as digits as its factorization.

576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 576768 is about 759.4524343236. The cubic root of 576768 is about 83.2403157670.

The spelling of 576768 in words is "five hundred seventy-six thousand, seven hundred sixty-eight".