16831872 has 96 divisors (see below), whose sum is σ = 51051000. Its totient is φ = 5308416.

The previous prime is 16831847. The next prime is 16831873. The reversal of 16831872 is 27813861.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16831873) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21504 + ... + 22272.

Almost surely, 2^16831872 is an apocalyptic number.

16831872 is a gapful number since it is divisible by the number (12) 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 16831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25525500).

16831872 is an abundant number, since it is smaller than the sum of its proper divisors (34219128).

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

16831872 is a wasteful number, since it uses less digits than its factorization.

16831872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 793 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 16831872 is about 4102.6664500054. Note that the first 3 decimals coincide. The cubic root of 16831872 is about 256.2776934575.

The spelling of 16831872 in words is "sixteen million, eight hundred thirty-one thousand, eight hundred seventy-two".