16810920 has 144 divisors (see below), whose sum is σ = 63622260. Its totient is φ = 3838464.

The previous prime is 16810901. The next prime is 16810931. The reversal of 16810920 is 2901861.

It can be written as a sum of positive squares in 2 ways, for example, as 16597476 + 213444 = 4074^2 + 462^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17164 + ... + 18116.

Almost surely, 2^16810920 is an apocalyptic number.

16810920 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 16810920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31811130).

16810920 is an abundant number, since it is smaller than the sum of its proper divisors (46811340).

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

16810920 is a wasteful number, since it uses less digits than its factorization.

16810920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 16810920 is about 4100.1121935869. The cubic root of 16810920 is about 256.1713127424.

The spelling of 16810920 in words is "sixteen million, eight hundred ten thousand, nine hundred twenty".