8485600 has 36 divisors (see below), whose sum is σ = 20717424. Its totient is φ = 3393920.

The previous prime is 8485591. The next prime is 8485613. The reversal of 8485600 is 65848.

It is an Ulam number.

It is a congruent 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, 4504 + ... + 6103.

It is an arithmetic number, because the mean of its divisors is an integer number (575484).

Almost surely, 2^8485600 is an apocalyptic number.

8485600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8485600 is an abundant number, since it is smaller than the sum of its proper divisors (12231824).

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

8485600 is a wasteful number, since it uses less digits than its factorization.

8485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10614 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8485600 is about 2913.0053209701. The cubic root of 8485600 is about 203.9674432217.

Subtracting from 8485600 its sum of digits (31), we obtain a square (8485569 = 2913²).

The spelling of 8485600 in words is "eight million, four hundred eighty-five thousand, six hundred".