85207590 has 96 divisors (see below), whose sum is σ = 251203680. Its totient is φ = 19865088.

The previous prime is 85207547. The next prime is 85207607. The reversal of 85207590 is 9570258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20314 + ... + 24146.

It is an arithmetic number, because the mean of its divisors is an integer number (2616705).

Almost surely, 2^85207590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85207590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601840).

85207590 is an abundant number, since it is smaller than the sum of its proper divisors (165996090).

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

85207590 is a wasteful number, since it uses less digits than its factorization.

85207590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 85207590 is about 9230.7957403465. The cubic root of 85207590 is about 440.0406126425.

It can be divided in two parts, 852075 and 90, that added together give a triangular number (852165 = T₁₃₀₅).

The spelling of 85207590 in words is "eighty-five million, two hundred seven thousand, five hundred ninety".