2823296 has 64 divisors (see below), whose sum is σ = 6756480. Its totient is φ = 1148928.

The previous prime is 2823287. The next prime is 2823311. The reversal of 2823296 is 6923282.

2823296 = 44² + 45² + ... + 204².

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20540 + ... + 20676.

It is an arithmetic number, because the mean of its divisors is an integer number (105570).

2^2823296 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 2823296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378240).

2823296 is an abundant number, since it is smaller than the sum of its proper divisors (3933184).

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

2823296 is a wasteful number, since it uses less digits than its factorization.

2823296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 2823296 is about 1680.2666455060. The cubic root of 2823296 is about 141.3357857254.

The spelling of 2823296 in words is "two million, eight hundred twenty-three thousand, two hundred ninety-six".