2806920 has 128 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 709632.

The previous prime is 2806919. The next prime is 2806961. The reversal of 2806920 is 296082.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24784 + ... + 24896.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

2^2806920 is an apocalyptic number.

2806920 is a gapful number since it is divisible by the number (20) 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 2806920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

2806920 is an abundant number, since it is smaller than the sum of its proper divisors (7042680).

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

2806920 is a wasteful number, since it uses less digits than its factorization.

2806920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2806920 is about 1675.3865225673. The cubic root of 2806920 is about 141.0619917540.

The spelling of 2806920 in words is "two million, eight hundred six thousand, nine hundred twenty".