85867776 has 180 divisors, whose sum is σ = 264884004. Its totient is φ = 27648000.

The previous prime is 85867741. The next prime is 85867777. The reversal of 85867776 is 67776858.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 41990400 = 6624^2 + 6480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3951360) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85867777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 850126 + ... + 850226.

Almost surely, 2^85867776 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 85867776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132442002).

85867776 is an abundant number, since it is smaller than the sum of its proper divisors (179016228).

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

85867776 is a wasteful number, since it uses less digits than its factorization.

85867776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 85867776 is about 9266.4867128810. The cubic root of 85867776 is about 441.1741641668.

The spelling of 85867776 in words is "eighty-five million, eight hundred sixty-seven thousand, seven hundred seventy-six".