1216180 has 72 divisors (see below), whose sum is σ = 3188808. Its totient is φ = 387072.

The previous prime is 1216177. The next prime is 1216213. The reversal of 1216180 is 816121.

1216180 = T₄₉ + T₅₀ + ... + T₁₉₄.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 933156 = 532^2 + 966^2 .

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16624 + ... + 16696.

It is an arithmetic number, because the mean of its divisors is an integer number (44289).

2^1216180 is an apocalyptic number.

1216180 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 1216180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594404).

1216180 is an abundant number, since it is smaller than the sum of its proper divisors (1972628).

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

1216180 is a wasteful number, since it uses less digits than its factorization.

1216180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1216180 is about 1102.8055132252. The cubic root of 1216180 is about 106.7413322712.

The spelling of 1216180 in words is "one million, two hundred sixteen thousand, one hundred eighty".