581153968 has 40 divisors (see below), whose sum is σ = 1196329680. Its totient is φ = 272966400.

The previous prime is 581153933. The next prime is 581153999. The reversal of 581153968 is 869351185.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 34093.

It is an arithmetic number, because the mean of its divisors is an integer number (29908242).

Almost surely, 2^581153968 is an apocalyptic number.

581153968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581153968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598164840).

581153968 is an abundant number, since it is smaller than the sum of its proper divisors (615175712).

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

581153968 is a wasteful number, since it uses less digits than its factorization.

581153968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33925 (or 33919 counting only the distinct ones).

The product of its digits is 259200, while the sum is 46.

The square root of 581153968 is about 24107.1352093110. The cubic root of 581153968 is about 834.5078041599.

The spelling of 581153968 in words is "five hundred eighty-one million, one hundred fifty-three thousand, nine hundred sixty-eight".