1167680 has 56 divisors (see below), whose sum is σ = 2880360. Its totient is φ = 450560.

The previous prime is 1167667. The next prime is 1167689. The reversal of 1167680 is 867611.

1167680 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 1149184 = 136^2 + 1072^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167689) 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 7 ways as a sum of consecutive naturals, for example, 13076 + ... + 13164.

It is an arithmetic number, because the mean of its divisors is an integer number (51435).

2^1167680 is an apocalyptic number.

1167680 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 1167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440180).

1167680 is an abundant number, since it is smaller than the sum of its proper divisors (1712680).

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

1167680 is an equidigital number, since it uses as much as digits as its factorization.

1167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1167680 is about 1080.5924301049. The cubic root of 1167680 is about 105.3031300824.

The spelling of 1167680 in words is "one million, one hundred sixty-seven thousand, six hundred eighty".