85095000 has 240 divisors, whose sum is σ = 302153280. Its totient is φ = 21600000.

The previous prime is 85094983. The next prime is 85095001. The reversal of 85095000 is 59058.

85095000 = T₃₂₀ + T₃₂₁ + ... + T₈₁₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85095001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1394970 + ... + 1395030.

It is an arithmetic number, because the mean of its divisors is an integer number (1258972).

Almost surely, 2^85095000 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 85095000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076640).

85095000 is an abundant number, since it is smaller than the sum of its proper divisors (217058280).

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

85095000 is a wasteful number, since it uses less digits than its factorization.

85095000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 85095000 is about 9224.6951169131. The cubic root of 85095000 is about 439.8467096872.

The spelling of 85095000 in words is "eighty-five million, ninety-five thousand".