85600134 has 48 divisors (see below), whose sum is σ = 198918720. Its totient is φ = 26507520.

The previous prime is 85600063. The next prime is 85600153. The reversal of 85600134 is 43100658.

It is a junction number, because it is equal to n+sod(n) for n = 85600098 and 85600107.

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, 22404 + ... + 25944.

It is an arithmetic number, because the mean of its divisors is an integer number (4144140).

Almost surely, 2^85600134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85600134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99459360).

85600134 is an abundant number, since it is smaller than the sum of its proper divisors (113318586).

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

85600134 is a wasteful number, since it uses less digits than its factorization.

85600134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85600134 is about 9252.0340466300. The cubic root of 85600134 is about 440.7153206124.

The spelling of 85600134 in words is "eighty-five million, six hundred thousand, one hundred thirty-four".