1833984 has 66 divisors (see below), whose sum is σ = 5322200. Its totient is φ = 608256.

The previous prime is 1833983. The next prime is 1834031. The reversal of 1833984 is 4893381.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1833983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9117 + ... + 9315.

2^1833984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661100).

1833984 is an abundant number, since it is smaller than the sum of its proper divisors (3488216).

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

1833984 is a wasteful number, since it uses less digits than its factorization.

1833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1833984 is about 1354.2466540479. The cubic root of 1833984 is about 122.4048184698.

The spelling of 1833984 in words is "one million, eight hundred thirty-three thousand, nine hundred eighty-four".