8808461600 has 144 divisors (see below), whose sum is σ = 22894534656. Its totient is φ = 3297792000.

The previous prime is 8808461567. The next prime is 8808461603. The reversal of 8808461600 is 61648088.

It is not an unprimeable number, because it can be changed into a prime (8808461603) 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, 2595905 + ... + 2599295.

It is an arithmetic number, because the mean of its divisors is an integer number (158989824).

Almost surely, 2^8808461600 is an apocalyptic number.

8808461600 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 8808461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11447267328).

8808461600 is an abundant number, since it is smaller than the sum of its proper divisors (14086073056).

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

8808461600 is a wasteful number, since it uses less digits than its factorization.

8808461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 8808461600 is about 93853.4048396754. The cubic root of 8808461600 is about 2065.2217417690.

The spelling of 8808461600 in words is "eight billion, eight hundred eight million, four hundred sixty-one thousand, six hundred".