85129600 has 96 divisors (see below), whose sum is σ = 216280800. Its totient is φ = 33085440.

The previous prime is 85129589. The next prime is 85129609. The reversal of 85129600 is 692158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85129609) 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 11 ways as a sum of consecutive naturals, for example, 118041 + ... + 118759.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 2^85129600 is an apocalyptic number.

85129600 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 85129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

85129600 is an abundant number, since it is smaller than the sum of its proper divisors (131151200).

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

85129600 is a wasteful number, since it uses less digits than its factorization.

85129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 85129600 is about 9226.5703270500. The cubic root of 85129600 is about 439.9063161426.

The spelling of 85129600 in words is "eighty-five million, one hundred twenty-nine thousand, six hundred".