581904 has 50 divisors (see below), whose sum is σ = 1687950. Its totient is φ = 193536.

The previous prime is 581891. The next prime is 581909. The reversal of 581904 is 409185.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 63504 = 720^2 + 252^2 .

It is a super-2 number, since 2×581904² = 677224530432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (581909) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1072 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (33759).

2⁵⁸¹⁹⁰⁴ is an apocalyptic number.

581904 is a gapful number since it is divisible by the number (54) 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 581904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843975).

581904 is an abundant number, since it is smaller than the sum of its proper divisors (1106046).

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

581904 is a wasteful number, since it uses less digits than its factorization.

581904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 581904 is about 762.8263236150. The cubic root of 581904 is about 83.4866652544.

It can be divided in two parts, 581 and 904, that added together give a triangular number (1485 = T₅₄).

The spelling of 581904 in words is "five hundred eighty-one thousand, nine hundred four".