8913600 has 126 divisors (see below), whose sum is σ = 31732220. Its totient is φ = 2373120.

The previous prime is 8913589. The next prime is 8913623. The reversal of 8913600 is 63198.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14091 + ... + 14709.

Almost surely, 2^8913600 is an apocalyptic number.

8913600 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 8913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866110).

8913600 is an abundant number, since it is smaller than the sum of its proper divisors (22818620).

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

8913600 is a wasteful number, since it uses less digits than its factorization.

8913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 8913600 is about 2985.5652731099. The cubic root of 8913600 is about 207.3406140427.

Adding to 8913600 its reverse (63198), we get a palindrome (8976798).

It can be divided in two parts, 89 and 13600, that added together give a square (13689 = 117²).

The spelling of 8913600 in words is "eight million, nine hundred thirteen thousand, six hundred".