8545882320 has 480 divisors, whose sum is σ = 33196625280. Its totient is φ = 2030469120.

The previous prime is 8545882309. The next prime is 8545882321. The reversal of 8545882320 is 232885458.

8545882320 is a `hidden beast` number, since 8 + 545 + 8 + 82 + 3 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8545882321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6278440 + ... + 6279800.

It is an arithmetic number, because the mean of its divisors is an integer number (69159636).

Almost surely, 2^8545882320 is an apocalyptic number.

8545882320 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 8545882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598312640).

8545882320 is an abundant number, since it is smaller than the sum of its proper divisors (24650742960).

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

8545882320 is a wasteful number, since it uses less digits than its factorization.

8545882320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8545882320 is about 92443.9414997002. The cubic root of 8545882320 is about 2044.4930381312.

The spelling of 8545882320 in words is "eight billion, five hundred forty-five million, eight hundred eighty-two thousand, three hundred twenty".