16830000 has 300 divisors, whose sum is σ = 67984488. Its totient is φ = 3840000.

The previous prime is 16829999. The next prime is 16830019. The reversal of 16830000 is 3861.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989992 + ... + 990008.

Almost surely, 2^16830000 is an apocalyptic number.

16830000 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 16830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33992244).

16830000 is an abundant number, since it is smaller than the sum of its proper divisors (51154488).

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

16830000 is a wasteful number, since it uses less digits than its factorization.

16830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16830000 is about 4102.4382993532. The cubic root of 16830000 is about 256.2681922440.

Adding to 16830000 its reverse (3861), we get a palindrome (16833861).

The spelling of 16830000 in words is "sixteen million, eight hundred thirty thousand".