2991168 has 70 divisors (see below), whose sum is σ = 8882126. Its totient is φ = 995328.

The previous prime is 2991143. The next prime is 2991187. The reversal of 2991168 is 8611992.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 5184 = 1728^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4896 + ... + 5472.

2^2991168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441063).

2991168 is an abundant number, since it is smaller than the sum of its proper divisors (5890958).

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

2991168 is an equidigital number, since it uses as much as digits as its factorization.

2991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 582 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2991168 is about 1729.4993495229. The cubic root of 2991168 is about 144.0832851545.

The spelling of 2991168 in words is "two million, nine hundred ninety-one thousand, one hundred sixty-eight".