16830160 has 40 divisors (see below), whose sum is σ = 39640320. Its totient is φ = 6644352.

The previous prime is 16830139. The next prime is 16830161. The reversal of 16830160 is 6103861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16830161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4989 + ... + 7651.

It is an arithmetic number, because the mean of its divisors is an integer number (991008).

Almost surely, 2^16830160 is an apocalyptic number.

16830160 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 16830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820160).

16830160 is an abundant number, since it is smaller than the sum of its proper divisors (22810160).

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

16830160 is a wasteful number, since it uses less digits than its factorization.

16830160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 16830160 is about 4102.4577999048. The cubic root of 16830160 is about 256.2690043411.

The spelling of 16830160 in words is "sixteen million, eight hundred thirty thousand, one hundred sixty".