85842180 has 144 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 21523968.

The previous prime is 85842179. The next prime is 85842199. The reversal of 85842180 is 8124858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82101 + ... + 83139.

It is an arithmetic number, because the mean of its divisors is an integer number (1987440).

Almost surely, 2^85842180 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 85842180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

85842180 is an abundant number, since it is smaller than the sum of its proper divisors (200349180).

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

85842180 is a wasteful number, since it uses less digits than its factorization.

85842180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85842180 is about 9265.1055039864. The cubic root of 85842180 is about 441.1303238321.

The spelling of 85842180 in words is "eighty-five million, eight hundred forty-two thousand, one hundred eighty".