16872960 has 160 divisors (see below), whose sum is σ = 58433760. Its totient is φ = 4153344.

The previous prime is 16872929. The next prime is 16872967. The reversal of 16872960 is 6927861.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16872967) 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 15 ways as a sum of consecutive naturals, for example, 1297914 + ... + 1297926.

It is an arithmetic number, because the mean of its divisors is an integer number (365211).

Almost surely, 2^16872960 is an apocalyptic number.

16872960 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 16872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29216880).

16872960 is an abundant number, since it is smaller than the sum of its proper divisors (41560800).

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

16872960 is an frugal number, since it uses more digits than its factorization.

16872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 16872960 is about 4107.6708728914. The cubic root of 16872960 is about 256.4860557304.

The spelling of 16872960 in words is "sixteen million, eight hundred seventy-two thousand, nine hundred sixty".