2946168 has 96 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 881664.

The previous prime is 2946157. The next prime is 2946169. The reversal of 2946168 is 8616492.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35455 + ... + 35537.

2^2946168 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 2946168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600).

2946168 is an abundant number, since it is smaller than the sum of its proper divisors (5899032).

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

2946168 is a wasteful number, since it uses less digits than its factorization.

2946168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2946168 is about 1716.4405029013. The cubic root of 2946168 is about 143.3570875840.

The spelling of 2946168 in words is "two million, nine hundred forty-six thousand, one hundred sixty-eight".