16305120 has 216 divisors, whose sum is σ = 61149816. Its totient is φ = 3953664.

The previous prime is 16305119. The next prime is 16305151. The reversal of 16305120 is 2150361.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16305093 and 16305102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243327 + ... + 243393.

It is an arithmetic number, because the mean of its divisors is an integer number (283101).

Almost surely, 2^16305120 is an apocalyptic number.

16305120 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 16305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30574908).

16305120 is an abundant number, since it is smaller than the sum of its proper divisors (44844696).

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

16305120 is a wasteful number, since it uses less digits than its factorization.

16305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 16305120 is about 4037.9598809300. The cubic root of 16305120 is about 253.5759141478.

Adding to 16305120 its reverse (2150361), we get a palindrome (18455481).

It can be divided in two parts, 1 and 6305120, that added together give a square (6305121 = 2511²).

The spelling of 16305120 in words is "sixteen million, three hundred five thousand, one hundred twenty".