85270032 has 120 divisors (see below), whose sum is σ = 250233984. Its totient is φ = 27078912.

The previous prime is 85270021. The next prime is 85270061. The reversal of 85270032 is 23007258.

It is a junction number, because it is equal to n+sod(n) for n = 85269978 and 85270005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290878 + ... + 291170.

Almost surely, 2^85270032 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 85270032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125116992).

85270032 is an abundant number, since it is smaller than the sum of its proper divisors (164963952).

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

85270032 is a wasteful number, since it uses less digits than its factorization.

85270032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 85270032 is about 9234.1773862104. The cubic root of 85270032 is about 440.1480768826.

The spelling of 85270032 in words is "eighty-five million, two hundred seventy thousand, thirty-two".