8882115840 has 432 divisors, whose sum is σ = 33427150848. Its totient is φ = 2164506624.

The previous prime is 8882115829. The next prime is 8882115863. The reversal of 8882115840 is 485112888.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19019287 + ... + 19019753.

It is an arithmetic number, because the mean of its divisors is an integer number (77377664).

Almost surely, 2^8882115840 is an apocalyptic number.

8882115840 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 8882115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713575424).

8882115840 is an abundant number, since it is smaller than the sum of its proper divisors (24545035008).

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

8882115840 is a wasteful number, since it uses less digits than its factorization.

8882115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The square root of 8882115840 is about 94244.9777972280. The cubic root of 8882115840 is about 2070.9620676713.

The spelling of 8882115840 in words is "eight billion, eight hundred eighty-two million, one hundred fifteen thousand, eight hundred forty".