581672032 has 48 divisors (see below), whose sum is σ = 1186753680. Its totient is φ = 280463872.

The previous prime is 581671963. The next prime is 581672033. The reversal of 581672032 is 230276185.

It is a happy number.

It is a super-2 number, since 2×581672032² = 676684705622018048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581672033) 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 7 ways as a sum of consecutive naturals, for example, 97158 + ... + 102970.

It is an arithmetic number, because the mean of its divisors is an integer number (24724035).

Almost surely, 2^581672032 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 581672032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593376840).

581672032 is an abundant number, since it is smaller than the sum of its proper divisors (605081648).

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

581672032 is a wasteful number, since it uses less digits than its factorization.

581672032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 581672032 is about 24117.8778502587. The cubic root of 581672032 is about 834.7557017759.

The spelling of 581672032 in words is "five hundred eighty-one million, six hundred seventy-two thousand, thirty-two".