1830816 has 96 divisors (see below), whose sum is σ = 5785920. Its totient is φ = 559872.

The previous prime is 1830757. The next prime is 1830817. The reversal of 1830816 is 6180381.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1830816.

It is not an unprimeable number, because it can be changed into a prime (1830817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11151 + ... + 11313.

It is an arithmetic number, because the mean of its divisors is an integer number (60270).

2^1830816 is an apocalyptic number.

1830816 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 1830816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892960).

1830816 is an abundant number, since it is smaller than the sum of its proper divisors (3955104).

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

1830816 is a wasteful number, since it uses less digits than its factorization.

1830816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1830816 is about 1353.0764945117. The cubic root of 1830816 is about 122.3342976873.

The spelling of 1830816 in words is "one million, eight hundred thirty thousand, eight hundred sixteen".