1167320 has 64 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 362880.

The previous prime is 1167317. The next prime is 1167329. The reversal of 1167320 is 237611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1167292 and 1167301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2891 + ... + 3269.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2^1167320 is an apocalyptic number.

1167320 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 1167320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641600).

1167320 is an abundant number, since it is smaller than the sum of its proper divisors (2115880).

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

1167320 is a wasteful number, since it uses less digits than its factorization.

1167320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1167320 is about 1080.4258419716. The cubic root of 1167320 is about 105.2923071904.

Multiplying 1167320 by its product of nonzero digits (252), we get a triangular number (294164640 = T₂₄₂₅₅).

The spelling of 1167320 in words is "one million, one hundred sixty-seven thousand, three hundred twenty".