85861842 has 48 divisors (see below), whose sum is σ = 189949536. Its totient is φ = 25854400.

The previous prime is 85861819. The next prime is 85861843. The reversal of 85861842 is 24816858.

It is a junction number, because it is equal to n+sod(n) for n = 85861794 and 85861803.

It is not an unprimeable number, because it can be changed into a prime (85861843) 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, 164542 + ... + 165062.

It is an arithmetic number, because the mean of its divisors is an integer number (3957282).

Almost surely, 2^85861842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85861842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94974768).

85861842 is an abundant number, since it is smaller than the sum of its proper divisors (104087694).

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

85861842 is a wasteful number, since it uses less digits than its factorization.

85861842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 764 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 85861842 is about 9266.1665212751. The cubic root of 85861842 is about 441.1640013020.

The spelling of 85861842 in words is "eighty-five million, eight hundred sixty-one thousand, eight hundred forty-two".