581364 has 48 divisors (see below), whose sum is σ = 1724800. Its totient is φ = 165888.

The previous prime is 581353. The next prime is 581369. The reversal of 581364 is 463185.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 581364.

It is not an unprimeable number, because it can be changed into a prime (581369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372 + ... + 1140.

2⁵⁸¹³⁶⁴ is an apocalyptic number.

581364 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 581364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862400).

581364 is an abundant number, since it is smaller than the sum of its proper divisors (1143436).

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

581364 is a wasteful number, since it uses less digits than its factorization.

581364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 581364 is about 762.4722945786. The cubic root of 581364 is about 83.4608323840.

The spelling of 581364 in words is "five hundred eighty-one thousand, three hundred sixty-four".