583968 has 96 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 149760.

The previous prime is 583937. The next prime is 583969. The reversal of 583968 is 869385.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (583969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7353 + ... + 7431.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁵⁸³⁹⁶⁸ 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 583968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

583968 is an abundant number, since it is smaller than the sum of its proper divisors (1351392).

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

583968 is a wasteful number, since it uses less digits than its factorization.

583968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 583968 is about 764.1779897380. The cubic root of 583968 is about 83.5852572005.

It can be divided in two parts, 583 and 968, that added together give a palindrome (1551).

The spelling of 583968 in words is "five hundred eighty-three thousand, nine hundred sixty-eight".