581772096 has 336 divisors, whose sum is σ = 1925726400. Its totient is φ = 166772736.

The previous prime is 581772049. The next prime is 581772101. The reversal of 581772096 is 690277185.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9860515 + ... + 9860573.

Almost surely, 2^581772096 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 581772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962863200).

581772096 is an abundant number, since it is smaller than the sum of its proper divisors (1343954304).

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

581772096 is a wasteful number, since it uses less digits than its factorization.

581772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 581772096 is about 24119.9522387587. The cubic root of 581772096 is about 834.8035662085.

The spelling of 581772096 in words is "five hundred eighty-one million, seven hundred seventy-two thousand, ninety-six".