16518920 has 48 divisors (see below), whose sum is σ = 40865580. Its totient is φ = 6005120.

The previous prime is 16518919. The next prime is 16518959. The reversal of 16518920 is 2981561.

It can be written as a sum of positive squares in 2 ways, for example, as 15856324 + 662596 = 3982^2 + 814^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3134 + ... + 6546.

Almost surely, 2^16518920 is an apocalyptic number.

16518920 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 16518920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20432790).

16518920 is an abundant number, since it is smaller than the sum of its proper divisors (24346660).

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

16518920 is a wasteful number, since it uses less digits than its factorization.

16518920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 16518920 is about 4064.3474260944. The cubic root of 16518920 is about 254.6794382759.

The spelling of 16518920 in words is "sixteen million, five hundred eighteen thousand, nine hundred twenty".