85261896 has 96 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 27915840.

The previous prime is 85261879. The next prime is 85261909. The reversal of 85261896 is 69816258.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 118225 + ... + 118943.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^85261896 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 85261896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

85261896 is an abundant number, since it is smaller than the sum of its proper divisors (158472504).

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

85261896 is a wasteful number, since it uses less digits than its factorization.

85261896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 785 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 85261896 is about 9233.7368383553. The cubic root of 85261896 is about 440.1340775968.

The spelling of 85261896 in words is "eighty-five million, two hundred sixty-one thousand, eight hundred ninety-six".