123633216 has 140 divisors (see below), whose sum is σ = 418965888. Its totient is φ = 35313408.

The previous prime is 123633203. The next prime is 123633221. The reversal of 123633216 is 612336321.

It is a happy number.

123633216 is a `hidden beast` number, since 1 + 2 + 3 + 633 + 21 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 123633216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34585 + ... + 37991.

Almost surely, 2^123633216 is an apocalyptic number.

123633216 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 123633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209482944).

123633216 is an abundant number, since it is smaller than the sum of its proper divisors (295332672).

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

123633216 is an equidigital number, since it uses as much as digits as its factorization.

123633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3419 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 123633216 is about 11119.0474412155. The cubic root of 123633216 is about 498.1709385606.

Adding to 123633216 its reverse (612336321), we get a palindrome (735969537).

The spelling of 123633216 in words is "one hundred twenty-three million, six hundred thirty-three thousand, two hundred sixteen".