2966768 has 20 divisors (see below), whose sum is σ = 6569520. Its totient is φ = 1271424.

The previous prime is 2966767. The next prime is 2966773. The reversal of 2966768 is 8676692.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13133 + ... + 13356.

It is an arithmetic number, because the mean of its divisors is an integer number (328476).

2^2966768 is an apocalyptic number.

2966768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2966768 is an abundant number, since it is smaller than the sum of its proper divisors (3602752).

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

2966768 is a wasteful number, since it uses less digits than its factorization.

2966768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26504 (or 26498 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 2966768 is about 1722.4308404113. The cubic root of 2966768 is about 143.6904358139.

The spelling of 2966768 in words is "two million, nine hundred sixty-six thousand, seven hundred sixty-eight".