85611232 has 72 divisors (see below), whose sum is σ = 199085040. Its totient is φ = 36126720.

The previous prime is 85611203. The next prime is 85611247. The reversal of 85611232 is 23211658.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 85611232.

It is a congruent number.

It is an unprimeable number.

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, 110944 + ... + 111712.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070).

Almost surely, 2^85611232 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 85611232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99542520).

85611232 is an abundant number, since it is smaller than the sum of its proper divisors (113473808).

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

85611232 is a wasteful number, since it uses less digits than its factorization.

85611232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 849 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 85611232 is about 9252.6337871981. The cubic root of 85611232 is about 440.7343659380.

The spelling of 85611232 in words is "eighty-five million, six hundred eleven thousand, two hundred thirty-two".