2807856 has 120 divisors (see below), whose sum is σ = 8820864. Its totient is φ = 829440.

The previous prime is 2807851. The next prime is 2807879. The reversal of 2807856 is 6587082.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2807856.

It is not an unprimeable number, because it can be changed into a prime (2807851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75870 + ... + 75906.

2^2807856 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 2807856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432).

2807856 is an abundant number, since it is smaller than the sum of its proper divisors (6013008).

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

2807856 is a wasteful number, since it uses less digits than its factorization.

2807856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2807856 is about 1675.6658378090. The cubic root of 2807856 is about 141.0776695967.

It can be divided in two parts, 2807 and 856, that added together give a palindrome (3663).

The spelling of 2807856 in words is "two million, eight hundred seven thousand, eight hundred fifty-six".