16873920 has 336 divisors, whose sum is σ = 71006208. Its totient is φ = 3732480.

The previous prime is 16873907. The next prime is 16873921. The reversal of 16873920 is 2937861.

It is a tau number, because it is divible by the number of its divisors (336).

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 (16873921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544305 + ... + 544335.

It is an arithmetic number, because the mean of its divisors is an integer number (211328).

Almost surely, 2^16873920 is an apocalyptic number.

16873920 is a gapful number since it is divisible by the number (10) 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 16873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35503104).

16873920 is an abundant number, since it is smaller than the sum of its proper divisors (54132288).

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

16873920 is an equidigital number, since it uses as much as digits as its factorization.

16873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16873920 is about 4107.7877257716. The cubic root of 16873920 is about 256.4909199617.

It can be divided in two parts, 168 and 73920, that added together give a cube (74088 = 42³).

The spelling of 16873920 in words is "sixteen million, eight hundred seventy-three thousand, nine hundred twenty".