85811232 has 96 divisors (see below), whose sum is σ = 251052480. Its totient is φ = 25482240.

The previous prime is 85811213. The next prime is 85811267. The reversal of 85811232 is 23211858.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85811232.

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, 35007 + ... + 37377.

It is an arithmetic number, because the mean of its divisors is an integer number (2615130).

Almost surely, 2^85811232 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 85811232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125526240).

85811232 is an abundant number, since it is smaller than the sum of its proper divisors (165241248).

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

85811232 is a wasteful number, since it uses less digits than its factorization.

85811232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 85811232 is about 9263.4352159445. The cubic root of 85811232 is about 441.0773050550.

It can be divided in two parts, 858 and 11232, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 85811232 in words is "eighty-five million, eight hundred eleven thousand, two hundred thirty-two".