1829808 has 60 divisors (see below), whose sum is σ = 5213208. Its totient is φ = 599040.

The previous prime is 1829803. The next prime is 1829827. The reversal of 1829808 is 8089281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1829801) 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 11 ways as a sum of consecutive naturals, for example, 13903 + ... + 14033.

2^1829808 is an apocalyptic number.

1829808 is a gapful number since it is divisible by the number (18) 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 1829808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606604).

1829808 is an abundant number, since it is smaller than the sum of its proper divisors (3383400).

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

1829808 is a wasteful number, since it uses less digits than its factorization.

1829808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1829808 is about 1352.7039587434. The cubic root of 1829808 is about 122.3118421975.

The spelling of 1829808 in words is "one million, eight hundred twenty-nine thousand, eight hundred eight".