1813320 has 128 divisors (see below), whose sum is σ = 6393600. Its totient is φ = 456192.

The previous prime is 1813319. The next prime is 1813321. The reversal of 1813320 is 233181.

It is an interprime number because it is at equal distance from previous prime (1813319) and next prime (1813321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1813293 and 1813302.

It is not an unprimeable number, because it can be changed into a prime (1813321) 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 31 ways as a sum of consecutive naturals, for example, 24804 + ... + 24876.

It is an arithmetic number, because the mean of its divisors is an integer number (49950).

2^1813320 is an apocalyptic number.

1813320 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 1813320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196800).

1813320 is an abundant number, since it is smaller than the sum of its proper divisors (4580280).

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

1813320 is a wasteful number, since it uses less digits than its factorization.

1813320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1813320 is about 1346.5957077015. The cubic root of 1813320 is about 121.9433581014.

The spelling of 1813320 in words is "one million, eight hundred thirteen thousand, three hundred twenty".