1826320 has 40 divisors (see below), whose sum is σ = 4368024. Its totient is φ = 709632.

The previous prime is 1826311. The next prime is 1826323. The reversal of 1826320 is 236281.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 1721344 = 324^2 + 1312^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1826291 and 1826300.

It is not an unprimeable number, because it can be changed into a prime (1826323) 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 7 ways as a sum of consecutive naturals, for example, 2652 + ... + 3268.

2^1826320 is an apocalyptic number.

1826320 is a gapful number since it is divisible by the number (10) 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 1826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184012).

1826320 is an abundant number, since it is smaller than the sum of its proper divisors (2541704).

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

1826320 is a wasteful number, since it uses less digits than its factorization.

1826320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1826320 is about 1351.4140742200. The cubic root of 1826320 is about 122.2340753732.

The spelling of 1826320 in words is "one million, eight hundred twenty-six thousand, three hundred twenty".