581048640 has 280 divisors, whose sum is σ = 2140930440. Its totient is φ = 149409792.

The previous prime is 581048621. The next prime is 581048659. The reversal of 581048640 is 46840185.

581048640 is a `hidden beast` number, since 5 + 8 + 1 + 0 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (581048621) and next prime (581048659).

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 578306304 = 1656^2 + 24048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 581048595 and 581048604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751294 + ... + 752066.

Almost surely, 2^581048640 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 581048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070465220).

581048640 is an abundant number, since it is smaller than the sum of its proper divisors (1559881800).

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

581048640 is a wasteful number, since it uses less digits than its factorization.

581048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 581048640 is about 24104.9505288851. The cubic root of 581048640 is about 834.4573858809.

The spelling of 581048640 in words is "five hundred eighty-one million, forty-eight thousand, six hundred forty".