85833432 has 96 divisors (see below), whose sum is σ = 245044800. Its totient is φ = 28141344.

The previous prime is 85833413. The next prime is 85833439. The reversal of 85833432 is 23433858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85833439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129919 + ... + 130577.

It is an arithmetic number, because the mean of its divisors is an integer number (2552550).

Almost surely, 2^85833432 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 85833432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122522400).

85833432 is an abundant number, since it is smaller than the sum of its proper divisors (159211368).

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

85833432 is a wasteful number, since it uses less digits than its factorization.

85833432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 85833432 is about 9264.6333980358. The cubic root of 85833432 is about 441.1153384284.

The spelling of 85833432 in words is "eighty-five million, eight hundred thirty-three thousand, four hundred thirty-two".