16384032 has 216 divisors, whose sum is σ = 57513456. Its totient is φ = 4572288.

The previous prime is 16384003. The next prime is 16384037. The reversal of 16384032 is 23048361.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 16383987 and 16384005.

It is not an unprimeable number, because it can be changed into a prime (16384037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381003 + ... + 381045.

It is an arithmetic number, because the mean of its divisors is an integer number (266266).

Almost surely, 2^16384032 is an apocalyptic number.

16384032 is a gapful number since it is divisible by the number (12) 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 16384032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28756728).

16384032 is an abundant number, since it is smaller than the sum of its proper divisors (41129424).

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

16384032 is an equidigital number, since it uses as much as digits as its factorization.

16384032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 16384032 is about 4047.7193578607. The cubic root of 16384032 is about 253.9843336691.

The spelling of 16384032 in words is "sixteen million, three hundred eighty-four thousand, thirty-two".