85396032 has 252 divisors, whose sum is σ = 283839920. Its totient is φ = 25380864.

The previous prime is 85396027. The next prime is 85396043. The reversal of 85396032 is 23069358.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4494519 + ... + 4494537.

Almost surely, 2^85396032 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 85396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141919960).

85396032 is an abundant number, since it is smaller than the sum of its proper divisors (198443888).

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

85396032 is a wasteful number, since it uses less digits than its factorization.

85396032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 85396032 is about 9240.9973487714. The cubic root of 85396032 is about 440.3647663903.

The spelling of 85396032 in words is "eighty-five million, three hundred ninety-six thousand, thirty-two".