2646168 has 64 divisors (see below), whose sum is σ = 7968000. Its totient is φ = 715392.

The previous prime is 2646167. The next prime is 2646179. The reversal of 2646168 is 8616462.

It is a happy number.

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

Its product of digits (13824) is a multiple of the sum of its prime factors (864).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646167) 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 15 ways as a sum of consecutive naturals, for example, 2778 + ... + 3606.

It is an arithmetic number, because the mean of its divisors is an integer number (124500).

2^2646168 is an apocalyptic number.

2646168 is a gapful number since it is divisible by the number (28) 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 2646168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984000).

2646168 is an abundant number, since it is smaller than the sum of its proper divisors (5321832).

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

2646168 is a wasteful number, since it uses less digits than its factorization.

2646168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 860 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2646168 is about 1626.7046443654. The cubic root of 2646168 is about 138.3160159609.

The spelling of 2646168 in words is "two million, six hundred forty-six thousand, one hundred sixty-eight".