85271136 has 96 divisors (see below), whose sum is σ = 234511200. Its totient is φ = 27095040.

The previous prime is 85271089. The next prime is 85271141. The reversal of 85271136 is 63117258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 85271097 and 85271106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303316 + ... + 303596.

It is an arithmetic number, because the mean of its divisors is an integer number (2442825).

Almost surely, 2^85271136 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 85271136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117255600).

85271136 is an abundant number, since it is smaller than the sum of its proper divisors (149240064).

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

85271136 is a wasteful number, since it uses less digits than its factorization.

85271136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 85271136 is about 9234.2371639459. The cubic root of 85271136 is about 440.1499764221.

The spelling of 85271136 in words is "eighty-five million, two hundred seventy-one thousand, one hundred thirty-six".