8385900 has 36 divisors (see below), whose sum is σ = 24264072. Its totient is φ = 2236160.

The previous prime is 8385893. The next prime is 8385917. The reversal of 8385900 is 95838.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13677 + ... + 14276.

It is an arithmetic number, because the mean of its divisors is an integer number (674002).

Almost surely, 2^8385900 is an apocalyptic number.

It is an amenable number.

8385900 is an abundant number, since it is smaller than the sum of its proper divisors (15878172).

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

8385900 is a wasteful number, since it uses less digits than its factorization.

8385900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27970 (or 27963 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8385900 is about 2895.8418465103. The cubic root of 8385900 is about 203.1654680712.

The spelling of 8385900 in words is "eight million, three hundred eighty-five thousand, nine hundred".