2016768 has 80 divisors (see below), whose sum is σ = 5843376. Its totient is φ = 614400.

The previous prime is 2016739. The next prime is 2016787. The reversal of 2016768 is 8676102.

It is a happy number.

It is an Ulam number.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19918 + ... + 20018.

2^2016768 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 2016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921688).

2016768 is an abundant number, since it is smaller than the sum of its proper divisors (3826608).

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

2016768 is a wasteful number, since it uses less digits than its factorization.

2016768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2016768 is about 1420.1295715532. The cubic root of 2016768 is about 126.3432314647.

The spelling of 2016768 in words is "two million, sixteen thousand, seven hundred sixty-eight".