16468128 has 72 divisors (see below), whose sum is σ = 47226816. Its totient is φ = 5443200.

The previous prime is 16468093. The next prime is 16468129. The reversal of 16468128 is 82186461.

16468128 is a `hidden beast` number, since 1 + 646 + 8 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 junction number, because it is equal to n+sod(n) for n = 16468092 and 16468101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16468129) by changing a digit.

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, 60633 + ... + 60903.

It is an arithmetic number, because the mean of its divisors is an integer number (655928).

Almost surely, 2^16468128 is an apocalyptic number.

16468128 is a gapful number since it is divisible by the number (18) 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 16468128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23613408).

16468128 is an abundant number, since it is smaller than the sum of its proper divisors (30758688).

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

16468128 is a wasteful number, since it uses less digits than its factorization.

16468128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

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

The square root of 16468128 is about 4058.0941339501. The cubic root of 16468128 is about 254.4181427669.

The spelling of 16468128 in words is "sixteen million, four hundred sixty-eight thousand, one hundred twenty-eight".