85677536 has 96 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 33868800.

The previous prime is 85677511. The next prime is 85677547. The reversal of 85677536 is 63577658.

85677536 = T₃₂₈ + T₃₂₉ + ... + T₈₁₈.

It is a happy number.

Its product of digits (1058400) is a multiple of the sum of its prime divisors (560).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 174251 + ... + 174741.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 2^85677536 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 85677536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560).

85677536 is an abundant number, since it is smaller than the sum of its proper divisors (122615584).

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

85677536 is a wasteful number, since it uses less digits than its factorization.

85677536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 85677536 is about 9256.2160735367. The cubic root of 85677536 is about 440.8481162404.

The spelling of 85677536 in words is "eighty-five million, six hundred seventy-seven thousand, five hundred thirty-six".