85335800 has 96 divisors (see below), whose sum is σ = 219628800. Its totient is φ = 30576000.

The previous prime is 85335791. The next prime is 85335841. The reversal of 85335800 is 853358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173555 + ... + 174045.

It is an arithmetic number, because the mean of its divisors is an integer number (2287800).

Almost surely, 2^85335800 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 85335800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109814400).

85335800 is an abundant number, since it is smaller than the sum of its proper divisors (134293000).

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

85335800 is a wasteful number, since it uses less digits than its factorization.

85335800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 85335800 is about 9237.7378183189. The cubic root of 85335800 is about 440.2612085377.

Multiplying 85335800 by its reverse (853358), we get a square (72821987616400 = 8533580²).

85335800 divided by its reverse (853358) gives a square (100 = 10²).

The spelling of 85335800 in words is "eighty-five million, three hundred thirty-five thousand, eight hundred".