8807506960 has 120 divisors (see below), whose sum is σ = 24211872216. Its totient is φ = 2970132480.

The previous prime is 8807506951. The next prime is 8807506969. The reversal of 8807506960 is 696057088.

It is an interprime number because it is at equal distance from previous prime (8807506951) and next prime (8807506969).

It can be written as a sum of positive squares in 4 ways, for example, as 859427856 + 7948079104 = 29316^2 + 89152^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8807506969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220704 + ... + 257536.

Almost surely, 2^8807506960 is an apocalyptic number.

8807506960 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 8807506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105936108).

8807506960 is an abundant number, since it is smaller than the sum of its proper divisors (15404365256).

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

8807506960 is a wasteful number, since it uses less digits than its factorization.

8807506960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36921 (or 36908 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 8807506960 is about 93848.3188981028. The cubic root of 8807506960 is about 2065.1471311426.

The spelling of 8807506960 in words is "eight billion, eight hundred seven million, five hundred six thousand, nine hundred sixty".