16384000 has 72 divisors (see below), whose sum is σ = 40894308. Its totient is φ = 6553600.

The previous prime is 16383977. The next prime is 16384001. The reversal of 16384000 is 48361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11075584 + 5308416 = 3328^2 + 2304^2 .

It is a super-3 number, since 3×16384000³ (a number of 23 digits) contains 333 as substring.

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (16384001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3276798 + ... + 3276802.

Almost surely, 2^16384000 is an apocalyptic number.

16384000 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 16384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447154).

16384000 is an abundant number, since it is smaller than the sum of its proper divisors (24510308).

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

16384000 is an frugal number, since it uses more digits than its factorization.

16384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16384000 is about 4047.7154050155. The cubic root of 16384000 is about 253.9841683149.

The spelling of 16384000 in words is "sixteen million, three hundred eighty-four thousand".