2836800 has 126 divisors (see below), whose sum is σ = 10133838. Its totient is φ = 752640.

The previous prime is 2836793. The next prime is 2836817. The reversal of 2836800 is 86382.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 2005056 = 912^2 + 1416^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14302 + ... + 14498.

2^2836800 is an apocalyptic number.

2836800 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 2836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066919).

2836800 is an abundant number, since it is smaller than the sum of its proper divisors (7297038).

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

2836800 is a wasteful number, since it uses less digits than its factorization.

2836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2836800 is about 1684.2802617142. The cubic root of 2836800 is about 141.5607666849.

The spelling of 2836800 in words is "two million, eight hundred thirty-six thousand, eight hundred".