8875600 has 30 divisors (see below), whose sum is σ = 21324590. Its totient is φ = 3550080.

The previous prime is 8875591. The next prime is 8875609. The reversal of 8875600 is 65788.

It is an interprime number because it is at equal distance from previous prime (8875591) and next prime (8875609).

It can be written as a sum of positive squares in 3 ways, for example, as 968256 + 7907344 = 984^2 + 2812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8875609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10695 + ... + 11494.

Almost surely, 2^8875600 is an apocalyptic number.

8875600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8875600 is an abundant number, since it is smaller than the sum of its proper divisors (12448990).

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

8875600 is a wasteful number, since it uses less digits than its factorization.

8875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22207 (or 22196 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 8875600 is about 2979.1945220143. The cubic root of 8875600 is about 207.0455530761.

The spelling of 8875600 in words is "eight million, eight hundred seventy-five thousand, six hundred".