1822496 has 36 divisors (see below), whose sum is σ = 3896802. Its totient is φ = 838656.

The previous prime is 1822493. The next prime is 1822501. The reversal of 1822496 is 6942281.

1822496 = T₅₂₃ + T₅₂₄ + ... + T₅₃₅.

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 1123600 = 836^2 + 1060^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5240 + ... + 5576.

2^1822496 is an apocalyptic number.

1822496 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 1822496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948401).

1822496 is an abundant number, since it is smaller than the sum of its proper divisors (2074306).

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

1822496 is a wasteful number, since it uses less digits than its factorization.

1822496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 1822496 is about 1349.9985185177. The cubic root of 1822496 is about 122.1487033832.

1822496 divided by its sum of digits (32) gives a triangular number (56953 = T₃₃₇).

The spelling of 1822496 in words is "one million, eight hundred twenty-two thousand, four hundred ninety-six".