85390032 has 160 divisors (see below), whose sum is σ = 275482368. Its totient is φ = 22192128.

The previous prime is 85390021. The next prime is 85390037. The reversal of 85390032 is 23009358.

It is a happy number.

It is a super-2 number, since 2×85390032² = 14582915129922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85390037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493498 + ... + 493670.

Almost surely, 2^85390032 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 85390032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137741184).

85390032 is an abundant number, since it is smaller than the sum of its proper divisors (190092336).

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

85390032 is a wasteful number, since it uses less digits than its factorization.

85390032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 85390032 is about 9240.6727027852. The cubic root of 85390032 is about 440.3544526774.

The spelling of 85390032 in words is "eighty-five million, three hundred ninety thousand, thirty-two".