85416128 has 56 divisors (see below), whose sum is σ = 198985632. Its totient is φ = 35610624.

The previous prime is 85416127. The next prime is 85416137. The reversal of 85416128 is 82161458.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85416127) 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 7 ways as a sum of consecutive naturals, for example, 14000 + ... + 19152.

Almost surely, 2^85416128 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 85416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99492816).

85416128 is an abundant number, since it is smaller than the sum of its proper divisors (113569504).

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

85416128 is a wasteful number, since it uses less digits than its factorization.

85416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5199 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 85416128 is about 9242.0846133326. The cubic root of 85416128 is about 440.3993069345.

The spelling of 85416128 in words is "eighty-five million, four hundred sixteen thousand, one hundred twenty-eight".