85128804 has 72 divisors (see below), whose sum is σ = 225858360. Its totient is φ = 26998272.

The previous prime is 85128803. The next prime is 85128811. The reversal of 85128804 is 40882158.

It can be written as a sum of positive squares in 4 ways, for example, as 1954404 + 83174400 = 1398^2 + 9120^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85128803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75654 + ... + 76770.

Almost surely, 2^85128804 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 85128804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112929180).

85128804 is an abundant number, since it is smaller than the sum of its proper divisors (140729556).

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

85128804 is a wasteful number, since it uses less digits than its factorization.

85128804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85128804 is about 9226.5271906606. The cubic root of 85128804 is about 439.9049450311.

The spelling of 85128804 in words is "eighty-five million, one hundred twenty-eight thousand, eight hundred four".