8826408960 has 208 divisors, whose sum is σ = 29731364160. Its totient is φ = 2229534720.

The previous prime is 8826408931. The next prime is 8826408967. The reversal of 8826408960 is 698046288.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8826408967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163580 + ... + 1171140.

Almost surely, 2^8826408960 is an apocalyptic number.

8826408960 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 8826408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865682080).

8826408960 is an abundant number, since it is smaller than the sum of its proper divisors (20904955200).

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

8826408960 is a wasteful number, since it uses less digits than its factorization.

8826408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 8826408960 is about 93948.9699783877. The cubic root of 8826408960 is about 2066.6234293186.

The spelling of 8826408960 in words is "eight billion, eight hundred twenty-six million, four hundred eight thousand, nine hundred sixty".