85936128 has 96 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 28098560.

The previous prime is 85936117. The next prime is 85936133. The reversal of 85936128 is 82163958.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 85936128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436126 + ... + 436322.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 2^85936128 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 85936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

85936128 is an abundant number, since it is smaller than the sum of its proper divisors (147577152).

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

85936128 is a wasteful number, since it uses less digits than its factorization.

85936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 85936128 is about 9270.1741083973. The cubic root of 85936128 is about 441.2911934728.

The spelling of 85936128 in words is "eighty-five million, nine hundred thirty-six thousand, one hundred twenty-eight".