2955168 has 72 divisors (see below), whose sum is σ = 8701056. Its totient is φ = 950400.

The previous prime is 2955167. The next prime is 2955181. The reversal of 2955168 is 8615592.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2955167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8763 + ... + 9093.

It is an arithmetic number, because the mean of its divisors is an integer number (120848).

2^2955168 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 2955168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350528).

2955168 is an abundant number, since it is smaller than the sum of its proper divisors (5745888).

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

2955168 is a wasteful number, since it uses less digits than its factorization.

2955168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 2955168 is about 1719.0602083697. The cubic root of 2955168 is about 143.5029156817.

The spelling of 2955168 in words is "two million, nine hundred fifty-five thousand, one hundred sixty-eight".