85360128 has 160 divisors (see below), whose sum is σ = 275768064. Its totient is φ = 22904832.

The previous prime is 85360123. The next prime is 85360133. The reversal of 85360128 is 82106358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85360123) and next prime (85360133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85360123) 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 15 ways as a sum of consecutive naturals, for example, 182551 + ... + 183017.

Almost surely, 2^85360128 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 85360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032).

85360128 is an abundant number, since it is smaller than the sum of its proper divisors (190407936).

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

85360128 is a wasteful number, since it uses less digits than its factorization.

85360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 85360128 is about 9239.0544970792. The cubic root of 85360128 is about 440.3030419262.

The spelling of 85360128 in words is "eighty-five million, three hundred sixty thousand, one hundred twenty-eight".