16823872 has 56 divisors (see below), whose sum is σ = 36577016. Its totient is φ = 7630848.

The previous prime is 16823869. The next prime is 16823887. The reversal of 16823872 is 27832861.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 16777216 = 216^2 + 4096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60598 + ... + 60874.

It is an arithmetic number, because the mean of its divisors is an integer number (653161).

Almost surely, 2^16823872 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 16823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288508).

16823872 is an abundant number, since it is smaller than the sum of its proper divisors (19753144).

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

16823872 is a wasteful number, since it uses less digits than its factorization.

16823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 16823872 is about 4101.6913584520. The cubic root of 16823872 is about 256.2370850521.

It can be divided in two parts, 1682 and 3872, that multiplied together give a square (6512704 = 2552²).

The spelling of 16823872 in words is "sixteen million, eight hundred twenty-three thousand, eight hundred seventy-two".