2136768 has 56 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 687360.

The previous prime is 2136733. The next prime is 2136773. The reversal of 2136768 is 8676312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5773 + ... + 6131.

2^2136768 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 2136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

2136768 is an abundant number, since it is smaller than the sum of its proper divisors (3715392).

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

2136768 is a wasteful number, since it uses less digits than its factorization.

2136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2136768 is about 1461.7687915673. The cubic root of 2136768 is about 128.8009670336.

The spelling of 2136768 in words is "two million, one hundred thirty-six thousand, seven hundred sixty-eight".