16830720 has 144 divisors (see below), whose sum is σ = 59848320. Its totient is φ = 4478976.

The previous prime is 16830719. The next prime is 16830721. The reversal of 16830720 is 2703861.

It is an interprime number because it is at equal distance from previous prime (16830719) and next prime (16830721).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16830721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34317 + ... + 34803.

Almost surely, 2^16830720 is an apocalyptic number.

16830720 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 16830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29924160).

16830720 is an abundant number, since it is smaller than the sum of its proper divisors (43017600).

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

16830720 is an equidigital number, since it uses as much as digits as its factorization.

16830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 16830720 is about 4102.5260511056. The cubic root of 16830720 is about 256.2718466403.

The spelling of 16830720 in words is "sixteen million, eight hundred thirty thousand, seven hundred twenty".