393568 has 36 divisors (see below), whose sum is σ = 904932. Its totient is φ = 168000.

The previous prime is 393557. The next prime is 393571. The reversal of 393568 is 865393.

It is a congruent number.

It is an unprimeable number.

393568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1443 + ... + 1693.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2³⁹³⁵⁶⁸ 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 393568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452466).

393568 is an abundant number, since it is smaller than the sum of its proper divisors (511364).

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

393568 is a wasteful number, since it uses less digits than its factorization.

393568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 393568 is about 627.3499820674. The cubic root of 393568 is about 73.2835658658.

It can be divided in two parts, 393 and 568, that added together give a square (961 = 31²).

The spelling of 393568 in words is "three hundred ninety-three thousand, five hundred sixty-eight".