981180 has 96 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 247104.

The previous prime is 981173. The next prime is 981187. The reversal of 981180 is 81189.

It is an interprime number because it is at equal distance from previous prime (981173) and next prime (981187).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 981180.

It is not an unprimeable number, because it can be changed into a prime (981187) by changing a digit.

981180 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 31 ways as a sum of consecutive naturals, for example, 12381 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁹⁸¹¹⁸⁰ is an apocalyptic number.

981180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800).

981180 is an abundant number, since it is smaller than the sum of its proper divisors (2244420).

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

981180 is a wasteful number, since it uses less digits than its factorization.

981180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 981180 is about 990.5453043652. The cubic root of 981180 is about 99.3686895245.

The spelling of 981180 in words is "nine hundred eighty-one thousand, one hundred eighty".