16806720 has 224 divisors, whose sum is σ = 63495936. Its totient is φ = 3686400.

The previous prime is 16806707. The next prime is 16806737. The reversal of 16806720 is 2760861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 275490 + ... + 275550.

It is an arithmetic number, because the mean of its divisors is an integer number (283464).

Almost surely, 2^16806720 is an apocalyptic number.

16806720 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 16806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31747968).

16806720 is an abundant number, since it is smaller than the sum of its proper divisors (46689216).

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

16806720 is a wasteful number, since it uses less digits than its factorization.

16806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 16806720 is about 4099.5999804859. The cubic root of 16806720 is about 256.1499772231.

It can be divided in two parts, 1680 and 6720, that multiplied together give a square (11289600 = 3360²).

The spelling of 16806720 in words is "sixteen million, eight hundred six thousand, seven hundred twenty".