85258746 has 48 divisors (see below), whose sum is σ = 194762880. Its totient is φ = 26901600.

The previous prime is 85258741. The next prime is 85258751. The reversal of 85258746 is 64785258.

85258746 is a `hidden beast` number, since 8 + 525 + 87 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (85258741) and next prime (85258751).

It is not an unprimeable number, because it can be changed into a prime (85258741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40795 + ... + 42833.

It is an arithmetic number, because the mean of its divisors is an integer number (4057560).

Almost surely, 2^85258746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85258746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97381440).

85258746 is an abundant number, since it is smaller than the sum of its proper divisors (109504134).

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

85258746 is a wasteful number, since it uses less digits than its factorization.

85258746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2168 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 85258746 is about 9233.5662666166. The cubic root of 85258746 is about 440.1286572802.

It can be divided in two parts, 8525 and 8746, that added together give a palindrome (17271).

The spelling of 85258746 in words is "eighty-five million, two hundred fifty-eight thousand, seven hundred forty-six".