85090536 has 96 divisors (see below), whose sum is σ = 241862400. Its totient is φ = 26991360.

The previous prime is 85090529. The next prime is 85090543. The reversal of 85090536 is 63509058.

It is an interprime number because it is at equal distance from previous prime (85090529) and next prime (85090543).

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

It is a self number, because there is not a number n which added to its sum of digits gives 85090536.

It is a congruent number.

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, 149260 + ... + 149828.

It is an arithmetic number, because the mean of its divisors is an integer number (2519400).

Almost surely, 2^85090536 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 85090536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120931200).

85090536 is an abundant number, since it is smaller than the sum of its proper divisors (156771864).

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

85090536 is a wasteful number, since it uses less digits than its factorization.

85090536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 85090536 is about 9224.4531545236. The cubic root of 85090536 is about 439.8390182442.

The spelling of 85090536 in words is "eighty-five million, ninety thousand, five hundred thirty-six".