16482816 has 180 divisors, whose sum is σ = 56095182. Its totient is φ = 4644864.

The previous prime is 16482811. The next prime is 16482821. The reversal of 16482816 is 61828461.

16482816 is a `hidden beast` number, since 1 + 648 + 2 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16482811) and next prime (16482821).

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 2822400 = 3696^2 + 1680^2 .

It is a super-3 number, since 3×16482816³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16482811) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225756 + ... + 225828.

Almost surely, 2^16482816 is an apocalyptic number.

16482816 is a gapful number since it is divisible by the number (16) 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 16482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28047591).

16482816 is an abundant number, since it is smaller than the sum of its proper divisors (39612366).

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

16482816 is an equidigital number, since it uses as much as digits as its factorization.

16482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 16482816 is about 4059.9034471278. The cubic root of 16482816 is about 254.4937591989.

The spelling of 16482816 in words is "sixteen million, four hundred eighty-two thousand, eight hundred sixteen".