2806704 has 80 divisors (see below), whose sum is σ = 8258400. Its totient is φ = 912384.

The previous prime is 2806693. The next prime is 2806711. The reversal of 2806704 is 4076082.

2806704 = T₂₄₀ + T₂₄₁ + ... + T₃₁₂.

2806704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31492 + ... + 31580.

It is an arithmetic number, because the mean of its divisors is an integer number (103230).

2^2806704 is an apocalyptic number.

2806704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129200).

2806704 is an abundant number, since it is smaller than the sum of its proper divisors (5451696).

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

2806704 is a wasteful number, since it uses less digits than its factorization.

2806704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2806704 is about 1675.3220585905. The cubic root of 2806704 is about 141.0583732953.

The spelling of 2806704 in words is "two million, eight hundred six thousand, seven hundred four".