582349968 has 60 divisors (see below), whose sum is σ = 1634181120. Its totient is φ = 193591488.

The previous prime is 582349967. The next prime is 582349987. The reversal of 582349968 is 869943285.

It is not an unprimeable number, because it can be changed into a prime (582349967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49873 + ... + 60431.

It is an arithmetic number, because the mean of its divisors is an integer number (27236352).

Almost surely, 2^582349968 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 582349968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817090560).

582349968 is an abundant number, since it is smaller than the sum of its proper divisors (1051831152).

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

582349968 is a wasteful number, since it uses less digits than its factorization.

582349968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10956 (or 10947 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 582349968 is about 24131.9283937277. The cubic root of 582349968 is about 835.0798771399.

The spelling of 582349968 in words is "five hundred eighty-two million, three hundred forty-nine thousand, nine hundred sixty-eight".