1167180 has 72 divisors (see below), whose sum is σ = 3811248. Its totient is φ = 266112.

The previous prime is 1167167. The next prime is 1167193. The reversal of 1167180 is 817611.

It is an interprime number because it is at equal distance from previous prime (1167167) and next prime (1167193).

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1167180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2742 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (52934).

2^1167180 is an apocalyptic number.

1167180 is a gapful number since it is divisible by the number (10) 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 1167180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905624).

1167180 is an abundant number, since it is smaller than the sum of its proper divisors (2644068).

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

1167180 is a wasteful number, since it uses less digits than its factorization.

1167180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1167180 is about 1080.3610507603. The cubic root of 1167180 is about 105.2880976871.

The spelling of 1167180 in words is "one million, one hundred sixty-seven thousand, one hundred eighty".