16485120 has 216 divisors, whose sum is σ = 60265296. Its totient is φ = 4313088.

The previous prime is 16485113. The next prime is 16485143. The reversal of 16485120 is 2158461.

16485120 is a `hidden beast` number, since 1 + 648 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 311014 + ... + 311066.

It is an arithmetic number, because the mean of its divisors is an integer number (279006).

Almost surely, 2^16485120 is an apocalyptic number.

16485120 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 16485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132648).

16485120 is an abundant number, since it is smaller than the sum of its proper divisors (43780176).

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

16485120 is an frugal number, since it uses more digits than its factorization.

16485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 16485120 is about 4060.1871878030. The cubic root of 16485120 is about 254.5056165236.

The spelling of 16485120 in words is "sixteen million, four hundred eighty-five thousand, one hundred twenty".