2967768 has 48 divisors (see below), whose sum is σ = 8218080. Its totient is φ = 967104.

The previous prime is 2967751. The next prime is 2967779. The reversal of 2967768 is 8677692.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent 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, 2946 + ... + 3822.

It is an arithmetic number, because the mean of its divisors is an integer number (171210).

2^2967768 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 2967768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109040).

2967768 is an abundant number, since it is smaller than the sum of its proper divisors (5250312).

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

2967768 is a wasteful number, since it uses less digits than its factorization.

2967768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2967768 is about 1722.7211033711. The cubic root of 2967768 is about 143.7065784417.

The spelling of 2967768 in words is "two million, nine hundred sixty-seven thousand, seven hundred sixty-eight".