85194200 has 192 divisors, whose sum is σ = 253317120. Its totient is φ = 25920000.

The previous prime is 85194173. The next prime is 85194209. The reversal of 85194200 is 249158.

85194200 = 1834² + 1835² + ... + 1858².

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85194209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564125 + ... + 564275.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 2^85194200 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 85194200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

85194200 is an abundant number, since it is smaller than the sum of its proper divisors (168122920).

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

85194200 is a wasteful number, since it uses less digits than its factorization.

85194200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 85194200 is about 9230.0704222666. The cubic root of 85194200 is about 440.0175612826.

The spelling of 85194200 in words is "eighty-five million, one hundred ninety-four thousand, two hundred".