1822824 has 80 divisors (see below), whose sum is σ = 5336100. Its totient is φ = 580608.

The previous prime is 1822823. The next prime is 1822837. The reversal of 1822824 is 4282281.

It can be written as a sum of positive squares in 2 ways, for example, as 1822500 + 324 = 1350^2 + 18^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1822823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18744 + ... + 18840.

2^1822824 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 1822824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668050).

1822824 is an abundant number, since it is smaller than the sum of its proper divisors (3513276).

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

1822824 is a wasteful number, since it uses less digits than its factorization.

1822824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1822824 is about 1350.1199946671. The cubic root of 1822824 is about 122.1560307648.

The spelling of 1822824 in words is "one million, eight hundred twenty-two thousand, eight hundred twenty-four".