8905376520 has 160 divisors (see below), whose sum is σ = 30057793920. Its totient is φ = 2374557120.

The previous prime is 8905376449. The next prime is 8905376527. The reversal of 8905376520 is 256735098.

It is a happy number.

8905376520 is a `hidden beast` number, since 8 + 9 + 0 + 53 + 76 + 520 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8905376527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 781665 + ... + 792975.

It is an arithmetic number, because the mean of its divisors is an integer number (187861212).

Almost surely, 2^8905376520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8905376520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028896960).

8905376520 is an abundant number, since it is smaller than the sum of its proper divisors (21152417400).

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

8905376520 is an equidigital number, since it uses as much as digits as its factorization.

8905376520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11349 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 8905376520 is about 94368.3025173178. The cubic root of 8905376520 is about 2072.7683188170.

The spelling of 8905376520 in words is "eight billion, nine hundred five million, three hundred seventy-six thousand, five hundred twenty".