573768 has 48 divisors (see below), whose sum is σ = 1676220. Its totient is φ = 176256.

The previous prime is 573763. The next prime is 573787. The reversal of 573768 is 867375.

It can be written as a sum of positive squares in 2 ways, for example, as 412164 + 161604 = 642^2 + 402^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (573761) by changing a digit.

573768 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 11 ways as a sum of consecutive naturals, for example, 630 + ... + 1242.

573768 is a Friedman number, since it can be written as 7356*78, using all its digits and the basic arithmetic operations.

2⁵⁷³⁷⁶⁸ 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 573768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838110).

573768 is an abundant number, since it is smaller than the sum of its proper divisors (1102452).

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

573768 is a wasteful number, since it uses less digits than its factorization.

573768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 573768 is about 757.4747520545. The cubic root of 573768 is about 83.0957428082.

The spelling of 573768 in words is "five hundred seventy-three thousand, seven hundred sixty-eight".