2823600 has 120 divisors (see below), whose sum is σ = 9794512. Its totient is φ = 691200.

The previous prime is 2823589. The next prime is 2823607. The reversal of 2823600 is 63282.

2823600 = T₃₂ + T₃₃ + ... + T₂₅₆.

2823600 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (2823607) 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, 15510 + ... + 15690.

2^2823600 is an apocalyptic number.

2823600 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 2823600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897256).

2823600 is an abundant number, since it is smaller than the sum of its proper divisors (6970912).

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

2823600 is a wasteful number, since it uses less digits than its factorization.

2823600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2823600 is about 1680.3571049036. The cubic root of 2823600 is about 141.3408583470.

Adding to 2823600 its reverse (63282), we get a palindrome (2886882).

The spelling of 2823600 in words is "two million, eight hundred twenty-three thousand, six hundred".