16810820 has 96 divisors (see below), whose sum is σ = 41489280. Its totient is φ = 5667840.

The previous prime is 16810813. The next prime is 16810847. The reversal of 16810820 is 2801861.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 16810820.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202499 + ... + 202581.

It is an arithmetic number, because the mean of its divisors is an integer number (432180).

Almost surely, 2^16810820 is an apocalyptic number.

16810820 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 16810820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744640).

16810820 is an abundant number, since it is smaller than the sum of its proper divisors (24678460).

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

16810820 is a wasteful number, since it uses less digits than its factorization.

16810820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 16810820 is about 4100.0999987805. The cubic root of 16810820 is about 256.1708047952.

The spelling of 16810820 in words is "sixteen million, eight hundred ten thousand, eight hundred twenty".