8628800 has 42 divisors (see below), whose sum is σ = 21236178. Its totient is φ = 3450880.

The previous prime is 8628799. The next prime is 8628811. The reversal of 8628800 is 88268.

It can be written as a sum of positive squares in 3 ways, for example, as 2238016 + 6390784 = 1496^2 + 2528^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1097 + ... + 4296.

Almost surely, 2^8628800 is an apocalyptic number.

8628800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8628800 is an abundant number, since it is smaller than the sum of its proper divisors (12607378).

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

8628800 is a wasteful number, since it uses less digits than its factorization.

8628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 8628800 is about 2937.4819148379. The cubic root of 8628800 is about 205.1084098419.

The spelling of 8628800 in words is "eight million, six hundred twenty-eight thousand, eight hundred".