16789540 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 5677056.

The previous prime is 16789537. The next prime is 16789543. The reversal of 16789540 is 4598761.

16789540 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (16789537) and next prime (16789543).

It is a junction number, because it is equal to n+sod(n) for n = 16789493 and 16789502.

It is not an unprimeable number, because it can be changed into a prime (16789543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148524 + ... + 148636.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

It is a vampire number, since it can be written as 1748 ⋅ 9605 (with its own digits).

Almost surely, 2^16789540 is an apocalyptic number.

16789540 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 16789540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

16789540 is an abundant number, since it is smaller than the sum of its proper divisors (24578780).

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

16789540 is a wasteful number, since it uses less digits than its factorization.

16789540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 16789540 is about 4097.5041183628. The cubic root of 16789540 is about 256.0626677634.

The spelling of 16789540 in words is "sixteen million, seven hundred eighty-nine thousand, five hundred forty".