85670442 has 96 divisors (see below), whose sum is σ = 221247936. Its totient is φ = 23616000.

The previous prime is 85670401. The next prime is 85670471. The reversal of 85670442 is 24407658.

It is a junction number, because it is equal to n+sod(n) for n = 85670397 and 85670406.

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 47 ways as a sum of consecutive naturals, for example, 213442 + ... + 213842.

It is an arithmetic number, because the mean of its divisors is an integer number (2304666).

Almost surely, 2^85670442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85670442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110623968).

85670442 is an abundant number, since it is smaller than the sum of its proper divisors (135577494).

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

85670442 is a wasteful number, since it uses less digits than its factorization.

85670442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85670442 is about 9255.8328636595. The cubic root of 85670442 is about 440.8359486680.

The spelling of 85670442 in words is "eighty-five million, six hundred seventy thousand, four hundred forty-two".