1167120 has 60 divisors (see below), whose sum is σ = 3921996. Its totient is φ = 311040.

The previous prime is 1167083. The next prime is 1167139. The reversal of 1167120 is 217611.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 501264 = 816^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1167093 and 1167102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 1530.

2^1167120 is an apocalyptic number.

1167120 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 1167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960998).

1167120 is an abundant number, since it is smaller than the sum of its proper divisors (2754876).

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

1167120 is a wasteful number, since it uses less digits than its factorization.

1167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1167120 is about 1080.3332819089. Note that the first 3 decimals coincide. The cubic root of 1167120 is about 105.2862935112.

The spelling of 1167120 in words is "one million, one hundred sixty-seven thousand, one hundred twenty".