85819968 has 168 divisors, whose sum is σ = 270248888. Its totient is φ = 25878528.

The previous prime is 85819963. The next prime is 85820023. The reversal of 85819968 is 86991858.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 84492864 = 1152^2 + 9192^2 .

It is not an unprimeable number, because it can be changed into a prime (85819963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546546 + ... + 546702.

Almost surely, 2^85819968 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 85819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135124444).

85819968 is an abundant number, since it is smaller than the sum of its proper divisors (184428920).

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

85819968 is a wasteful number, since it uses less digits than its factorization.

85819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 85819968 is about 9263.9067352818. The cubic root of 85819968 is about 441.0922724841.

The spelling of 85819968 in words is "eighty-five million, eight hundred nineteen thousand, nine hundred sixty-eight".