85039200 has 288 divisors, whose sum is σ = 319979520. Its totient is φ = 21772800.

The previous prime is 85039177. The next prime is 85039247. The reversal of 85039200 is 293058.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669537 + ... + 669663.

It is an arithmetic number, because the mean of its divisors is an integer number (1111040).

Almost surely, 2^85039200 is an apocalyptic number.

85039200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

85039200 is an abundant number, since it is smaller than the sum of its proper divisors (234940320).

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

85039200 is a wasteful number, since it uses less digits than its factorization.

85039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 85039200 is about 9221.6701307301. The cubic root of 85039200 is about 439.7505473078.

The spelling of 85039200 in words is "eighty-five million, thirty-nine thousand, two hundred".