16805790 has 96 divisors (see below), whose sum is σ = 46500480. Its totient is φ = 4204032.

The previous prime is 16805759. The next prime is 16805797. The reversal of 16805790 is 9750861.

16805790 is a `hidden beast` number, since 1 + 6 + 80 + 579 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16805797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122602 + ... + 122738.

It is an arithmetic number, because the mean of its divisors is an integer number (484380).

Almost surely, 2^16805790 is an apocalyptic number.

16805790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16805790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23250240).

16805790 is an abundant number, since it is smaller than the sum of its proper divisors (29694690).

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

16805790 is a wasteful number, since it uses less digits than its factorization.

16805790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 16805790 is about 4099.4865532161. The cubic root of 16805790 is about 256.1452524488.

The spelling of 16805790 in words is "sixteen million, eight hundred five thousand, seven hundred ninety".