581106240 has 672 divisors, whose sum is σ = 2516282496. Its totient is φ = 120913920.

The previous prime is 581106233. The next prime is 581106259. The reversal of 581106240 is 42601185.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7001239 + ... + 7001321.

It is an arithmetic number, because the mean of its divisors is an integer number (3744468).

Almost surely, 2^581106240 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 581106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258141248).

581106240 is an abundant number, since it is smaller than the sum of its proper divisors (1935176256).

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

581106240 is a wasteful number, since it uses less digits than its factorization.

581106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 581106240 is about 24106.1452745975. The cubic root of 581106240 is about 834.4849585337.

The spelling of 581106240 in words is "five hundred eighty-one million, one hundred six thousand, two hundred forty".