1833216 has 144 divisors (see below), whose sum is σ = 6279168. Its totient is φ = 460800.

The previous prime is 1833179. The next prime is 1833257. The reversal of 1833216 is 6123381.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

Its product of digits (864) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59121 + ... + 59151.

2^1833216 is an apocalyptic number.

1833216 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 1833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139584).

1833216 is an abundant number, since it is smaller than the sum of its proper divisors (4445952).

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

1833216 is a wasteful number, since it uses less digits than its factorization.

1833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 54 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1833216 is about 1353.9630718746. The cubic root of 1833216 is about 122.3877299845.

Adding to 1833216 its reverse (6123381), we get a palindrome (7956597).

The spelling of 1833216 in words is "one million, eight hundred thirty-three thousand, two hundred sixteen".