16384968 has 24 divisors (see below), whose sum is σ = 44376150. Its totient is φ = 5461632.

The previous prime is 16384967. The next prime is 16384981. The reversal of 16384968 is 86948361.

16384968 is a `hidden beast` number, since 1 + 638 + 4 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16305444 + 79524 = 4038^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×16384968² = 536934352722048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16384961) 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 5 ways as a sum of consecutive naturals, for example, 113713 + ... + 113856.

Almost surely, 2^16384968 is an apocalyptic number.

16384968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16384968 is an abundant number, since it is smaller than the sum of its proper divisors (27991182).

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

16384968 is a wasteful number, since it uses less digits than its factorization.

16384968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227581 (or 227574 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 16384968 is about 4047.8349768734. The cubic root of 16384968 is about 253.9891701833.

The spelling of 16384968 in words is "sixteen million, three hundred eighty-four thousand, nine hundred sixty-eight".