581361440 has 72 divisors (see below), whose sum is σ = 1509728220. Its totient is φ = 211397120.

The previous prime is 581361421. The next prime is 581361457. The reversal of 581361440 is 44163185.

It can be written as a sum of positive squares in 2 ways, for example, as 541772176 + 39589264 = 23276^2 + 6292^2 .

It is a super-2 number, since 2×581361440² = 675962247837747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 581361397 and 581361406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4346 + ... + 34374.

Almost surely, 2^581361440 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 581361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754864110).

581361440 is an abundant number, since it is smaller than the sum of its proper divisors (928366780).

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

581361440 is a wasteful number, since it uses less digits than its factorization.

581361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30066 (or 30047 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 581361440 is about 24111.4379496537. The cubic root of 581361440 is about 834.6070987894.

The spelling of 581361440 in words is "five hundred eighty-one million, three hundred sixty-one thousand, four hundred forty".