16814020 has 36 divisors (see below), whose sum is σ = 37521540. Its totient is φ = 6327808.

The previous prime is 16814011. The next prime is 16814027. The reversal of 16814020 is 2041861.

It can be written as a sum of positive squares in 6 ways, for example, as 2930944 + 13883076 = 1712^2 + 3726^2 .

It is a super-2 number, since 2×16814020² = 565422537120800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16813982 and 16814000.

It is not an unprimeable number, because it can be changed into a prime (16814027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4326 + ... + 7234.

It is an arithmetic number, because the mean of its divisors is an integer number (1042265).

Almost surely, 2^16814020 is an apocalyptic number.

16814020 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 16814020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760770).

16814020 is an abundant number, since it is smaller than the sum of its proper divisors (20707520).

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

16814020 is a wasteful number, since it uses less digits than its factorization.

16814020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 16814020 is about 4100.4902145963. The cubic root of 16814020 is about 256.1870581084.

Adding to 16814020 its reverse (2041861), we get a palindrome (18855881).

The spelling of 16814020 in words is "sixteen million, eight hundred fourteen thousand, twenty".