1311180 has 72 divisors (see below), whose sum is σ = 4052496. Its totient is φ = 314880.

The previous prime is 1311173. The next prime is 1311181. The reversal of 1311180 is 811131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1311181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31960 + ... + 32000.

2^1311180 is an apocalyptic number.

1311180 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 1311180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026248).

1311180 is an abundant number, since it is smaller than the sum of its proper divisors (2741316).

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

1311180 is a wasteful number, since it uses less digits than its factorization.

1311180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1311180 is about 1145.0676835891. The cubic root of 1311180 is about 109.4512616442.

The spelling of 1311180 in words is "one million, three hundred eleven thousand, one hundred eighty".