1823680 has 56 divisors (see below), whose sum is σ = 4480560. Its totient is φ = 706560.

The previous prime is 1823671. The next prime is 1823681. The reversal of 1823680 is 863281.

1823680 = 50² + 51² + ... + 177².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1823681) 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, 13051 + ... + 13189.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

2^1823680 is an apocalyptic number.

1823680 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 1823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240280).

1823680 is an abundant number, since it is smaller than the sum of its proper divisors (2656880).

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

1823680 is a wasteful number, since it uses less digits than its factorization.

1823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1823680 is about 1350.4369663187. The cubic root of 1823680 is about 122.1751493045.

The spelling of 1823680 in words is "one million, eight hundred twenty-three thousand, six hundred eighty".