581920032 has 96 divisors (see below), whose sum is σ = 1617295680. Its totient is φ = 182891520.

The previous prime is 581919997. The next prime is 581920039. The reversal of 581920032 is 230029185.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (581920039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117282 + ... + 122142.

It is an arithmetic number, because the mean of its divisors is an integer number (16846830).

Almost surely, 2^581920032 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 581920032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808647840).

581920032 is an abundant number, since it is smaller than the sum of its proper divisors (1035375648).

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

581920032 is a wasteful number, since it uses less digits than its factorization.

581920032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 581920032 is about 24123.0187165703. The cubic root of 581920032 is about 834.8743195927.

The spelling of 581920032 in words is "five hundred eighty-one million, nine hundred twenty thousand, thirty-two".