985180 has 48 divisors (see below), whose sum is σ = 2451456. Its totient is φ = 325440.

The previous prime is 985177. The next prime is 985181. The reversal of 985180 is 81589.

985180 = 40² + 41² + ... + 144².

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4227 + ... + 4453.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁹⁸⁵¹⁸⁰ 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 985180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225728).

985180 is an abundant number, since it is smaller than the sum of its proper divisors (1466276).

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

985180 is a wasteful number, since it uses less digits than its factorization.

985180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 985180 is about 992.5623406114. The cubic root of 985180 is about 99.5035393470.

The spelling of 985180 in words is "nine hundred eighty-five thousand, one hundred eighty".