16807920 has 80 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 4402432.

The previous prime is 16807919. The next prime is 16807937. The reversal of 16807920 is 2970861.

It is a tau number, because it is divible by the number of its divisors (80).

16807920 is a modest number, since divided by 7920 gives 1680 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13567 + ... + 14753.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^16807920 is an apocalyptic number.

16807920 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 16807920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

16807920 is an abundant number, since it is smaller than the sum of its proper divisors (36224400).

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

16807920 is a wasteful number, since it uses less digits than its factorization.

16807920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 16807920 is about 4099.7463336163. The cubic root of 16807920 is about 256.1560734484.

The spelling of 16807920 in words is "sixteen million, eight hundred seven thousand, nine hundred twenty".