85376128 has 32 divisors (see below), whose sum is σ = 172434060. Its totient is φ = 42098688.

The previous prime is 85376119. The next prime is 85376143. The reversal of 85376128 is 82167358.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 7795264 = 8808^2 + 2792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4776 + ... + 13912.

Almost surely, 2^85376128 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 85376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86217030).

85376128 is an abundant number, since it is smaller than the sum of its proper divisors (87057932).

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

85376128 is an equidigital number, since it uses as much as digits as its factorization.

85376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224 (or 9212 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 85376128 is about 9239.9203459770. The cubic root of 85376128 is about 440.3305505094.

The spelling of 85376128 in words is "eighty-five million, three hundred seventy-six thousand, one hundred twenty-eight".