2961168 has 60 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 845376.

The previous prime is 2961149. The next prime is 2961187. The reversal of 2961168 is 8611692.

It is an interprime number because it is at equal distance from previous prime (2961149) and next prime (2961187).

It is an Ulam number.

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, 1723 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

2^2961168 is an apocalyptic number.

2961168 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 2961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

2961168 is an abundant number, since it is smaller than the sum of its proper divisors (5944512).

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

2961168 is a wasteful number, since it uses less digits than its factorization.

2961168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1271 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 2961168 is about 1720.8044630347. The cubic root of 2961168 is about 143.5999699982.

The spelling of 2961168 in words is "two million, nine hundred sixty-one thousand, one hundred sixty-eight".