8864593920 has 864 divisors, whose sum is σ = 38743155360. Its totient is φ = 1857945600.

The previous prime is 8864593877. The next prime is 8864593943. The reversal of 8864593920 is 293954688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58705845 + ... + 58705995.

It is an arithmetic number, because the mean of its divisors is an integer number (44841615).

Almost surely, 2^8864593920 is an apocalyptic number.

8864593920 is a gapful number since it is divisible by the number (80) 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 8864593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371577680).

8864593920 is an abundant number, since it is smaller than the sum of its proper divisors (29878561440).

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

8864593920 is a wasteful number, since it uses less digits than its factorization.

8864593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 8864593920 is about 94151.9724700444. The cubic root of 8864593920 is about 2069.5993623573.

The spelling of 8864593920 in words is "eight billion, eight hundred sixty-four million, five hundred ninety-three thousand, nine hundred twenty".