2806368 has 96 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 844800.

The previous prime is 2806367. The next prime is 2806369. The reversal of 2806368 is 8636082.

It is an interprime number because it is at equal distance from previous prime (2806367) and next prime (2806369).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68428 + ... + 68468.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

2^2806368 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 2806368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2806368 is an abundant number, since it is smaller than the sum of its proper divisors (5322144).

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

2806368 is a wasteful number, since it uses less digits than its factorization.

2806368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2806368 is about 1675.2217763628. The cubic root of 2806368 is about 141.0527442129.

The spelling of 2806368 in words is "two million, eight hundred six thousand, three hundred sixty-eight".