16823268 has 216 divisors, whose sum is σ = 58796640. Its totient is φ = 4112640.

The previous prime is 16823249. The next prime is 16823311. The reversal of 16823268 is 86232861.

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

Its product of digits (27648) is a multiple of the sum of its prime factors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 989596 + ... + 989612.

Almost surely, 2^16823268 is an apocalyptic number.

16823268 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 16823268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398320).

16823268 is an abundant number, since it is smaller than the sum of its proper divisors (41973372).

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

16823268 is a wasteful number, since it uses less digits than its factorization.

16823268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 16823268 is about 4101.6177296282. The cubic root of 16823268 is about 256.2340185948.

It can be divided in two parts, 1682 and 3268, that added together give a triangular number (4950 = T₉₉).

The spelling of 16823268 in words is "sixteen million, eight hundred twenty-three thousand, two hundred sixty-eight".