581952 has 56 divisors (see below), whose sum is σ = 1763776. Its totient is φ = 165888.

The previous prime is 581947. The next prime is 581953. The reversal of 581952 is 259185.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581953) by changing a digit.

581952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1128 + ... + 1560.

It is an arithmetic number, because the mean of its divisors is an integer number (31496).

2⁵⁸¹⁹⁵² 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 581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881888).

581952 is an abundant number, since it is smaller than the sum of its proper divisors (1181824).

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

581952 is a wasteful number, since it uses less digits than its factorization.

581952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 581952 is about 762.8577849114. The cubic root of 581952 is about 83.4889607360.

The spelling of 581952 in words is "five hundred eighty-one thousand, nine hundred fifty-two".