8813600 has 72 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 3365120.

The previous prime is 8813569. The next prime is 8813627. The reversal of 8813600 is 63188.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8813600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18161 + ... + 18639.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^8813600 is an apocalyptic number.

8813600 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 8813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8813600 is an abundant number, since it is smaller than the sum of its proper divisors (13684960).

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

8813600 is a wasteful number, since it uses less digits than its factorization.

8813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 8813600 is about 2968.7707894009. The cubic root of 8813600 is about 206.5623244819.

Adding to 8813600 its reverse (63188), we get a palindrome (8876788).

The spelling of 8813600 in words is "eight million, eight hundred thirteen thousand, six hundred".