85135600 has 90 divisors (see below), whose sum is σ = 224950880. Its totient is φ = 30940800.

The previous prime is 85135597. The next prime is 85135601. The reversal of 85135600 is 653158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85135601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47521 + ... + 49279.

Almost surely, 2^85135600 is an apocalyptic number.

85135600 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 85135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112475440).

85135600 is an abundant number, since it is smaller than the sum of its proper divisors (139815280).

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

85135600 is a wasteful number, since it uses less digits than its factorization.

85135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 85135600 is about 9226.8954692247. The cubic root of 85135600 is about 439.9166508789.

Adding to 85135600 its reverse (653158), we get a palindrome (85788758).

The spelling of 85135600 in words is "eighty-five million, one hundred thirty-five thousand, six hundred".