581349120 has 144 divisors (see below), whose sum is σ = 2025620352. Its totient is φ = 140922880.

The previous prime is 581349113. The next prime is 581349133. The reversal of 581349120 is 21943185.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35359 + ... + 49121.

It is an arithmetic number, because the mean of its divisors is an integer number (14066808).

Almost surely, 2^581349120 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 581349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012810176).

581349120 is an abundant number, since it is smaller than the sum of its proper divisors (1444271232).

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

581349120 is a wasteful number, since it uses less digits than its factorization.

581349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798 (or 13784 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 581349120 is about 24111.1824678924. The cubic root of 581349120 is about 834.6012031845.

The spelling of 581349120 in words is "five hundred eighty-one million, three hundred forty-nine thousand, one hundred twenty".