85206528 has 180 divisors, whose sum is σ = 274970124. Its totient is φ = 25190400.

The previous prime is 85206509. The next prime is 85206547. The reversal of 85206528 is 82560258.

It is an interprime number because it is at equal distance from previous prime (85206509) and next prime (85206547).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 85206492 and 85206501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2078188 + ... + 2078228.

Almost surely, 2^85206528 is an apocalyptic number.

85206528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85206528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137485062).

85206528 is an abundant number, since it is smaller than the sum of its proper divisors (189763596).

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

85206528 is a wasteful number, since it uses less digits than its factorization.

85206528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85206528 is about 9230.7382153325. The cubic root of 85206528 is about 440.0387844600.

The spelling of 85206528 in words is "eighty-five million, two hundred six thousand, five hundred twenty-eight".