85460128 has 24 divisors (see below), whose sum is σ = 181192788. Its totient is φ = 39442944.

The previous prime is 85460117. The next prime is 85460131. The reversal of 85460128 is 82106458.

It can be written as a sum of positive squares in 2 ways, for example, as 83685904 + 1774224 = 9148^2 + 1332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85460093 and 85460102.

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 3 ways as a sum of consecutive naturals, for example, 102301 + ... + 103132.

Almost surely, 2^85460128 is an apocalyptic number.

It is an amenable number.

85460128 is an abundant number, since it is smaller than the sum of its proper divisors (95732660).

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

85460128 is a wasteful number, since it uses less digits than its factorization.

85460128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205456 (or 205448 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85460128 is about 9244.4647222000. The cubic root of 85460128 is about 440.4749142139.

The spelling of 85460128 in words is "eighty-five million, four hundred sixty thousand, one hundred twenty-eight".