85932180 has 72 divisors (see below), whose sum is σ = 262080000. Its totient is φ = 22790592.

The previous prime is 85932151. The next prime is 85932251. The reversal of 85932180 is 8123958.

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 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, 34621 + ... + 37019.

It is an arithmetic number, because the mean of its divisors is an integer number (3640000).

Almost surely, 2^85932180 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 85932180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

85932180 is an abundant number, since it is smaller than the sum of its proper divisors (176147820).

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

85932180 is a wasteful number, since it uses less digits than its factorization.

85932180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85932180 is about 9269.9611649672. The cubic root of 85932180 is about 441.2844355687.

The spelling of 85932180 in words is "eighty-five million, nine hundred thirty-two thousand, one hundred eighty".