581478768 has 120 divisors (see below), whose sum is σ = 1813113120. Its totient is φ = 172730880.

The previous prime is 581478763. The next prime is 581478773. The reversal of 581478768 is 867874185.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (581478763) and next prime (581478773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581478763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48933 + ... + 59643.

It is an arithmetic number, because the mean of its divisors is an integer number (15109276).

Almost surely, 2^581478768 is an apocalyptic number.

581478768 is a gapful number since it is divisible by the number (58) 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 581478768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906556560).

581478768 is an abundant number, since it is smaller than the sum of its proper divisors (1231634352).

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

581478768 is a wasteful number, since it uses less digits than its factorization.

581478768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767 (or 10758 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 581478768 is about 24113.8708630531. The cubic root of 581478768 is about 834.6632406823.

The spelling of 581478768 in words is "five hundred eighty-one million, four hundred seventy-eight thousand, seven hundred sixty-eight".