85194900 has 108 divisors (see below), whose sum is σ = 305209632. Its totient is φ = 19471680.

The previous prime is 85194899. The next prime is 85194929. The reversal of 85194900 is 949158.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462 + ... + 13061.

Almost surely, 2^85194900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85194900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152604816).

85194900 is an abundant number, since it is smaller than the sum of its proper divisors (220014732).

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

85194900 is a wasteful number, since it uses less digits than its factorization.

85194900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13550 (or 13540 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 85194900 is about 9230.1083417260. The cubic root of 85194900 is about 440.0187664172.

The spelling of 85194900 in words is "eighty-five million, one hundred ninety-four thousand, nine hundred".