85139200 has 108 divisors (see below), whose sum is σ = 215564328. Its totient is φ = 33280000.

The previous prime is 85139191. The next prime is 85139207. The reversal of 85139200 is 293158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85139207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339075 + ... + 339325.

It is an arithmetic number, because the mean of its divisors is an integer number (1995966).

Almost surely, 2^85139200 is an apocalyptic number.

85139200 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 85139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107782164).

85139200 is an abundant number, since it is smaller than the sum of its proper divisors (130425128).

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

85139200 is a wasteful number, since it uses less digits than its factorization.

85139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 85139200 is about 9227.0905490301. The cubic root of 85139200 is about 439.9228514875.

The spelling of 85139200 in words is "eighty-five million, one hundred thirty-nine thousand, two hundred".