1822336 has 32 divisors (see below), whose sum is σ = 3794400. Its totient is φ = 870144.

The previous prime is 1822321. The next prime is 1822367. The reversal of 1822336 is 6332281.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1822336³ = 18155433319798407168, which contains 333 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1822336.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2635 + ... + 3253.

It is an arithmetic number, because the mean of its divisors is an integer number (118575).

2^1822336 is an apocalyptic number.

1822336 is a gapful number since it is divisible by the number (16) 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 1822336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897200).

1822336 is an abundant number, since it is smaller than the sum of its proper divisors (1972064).

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

1822336 is an equidigital number, since it uses as much as digits as its factorization.

1822336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 1822336 is about 1349.9392578927. The cubic root of 1822336 is about 122.1451287316.

The spelling of 1822336 in words is "one million, eight hundred twenty-two thousand, three hundred thirty-six".