16432000 has 128 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 5990400.

The previous prime is 16431991. The next prime is 16432001. The reversal of 16432000 is 23461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207961 + ... + 208039.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^16432000 is an apocalyptic number.

16432000 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 16432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

16432000 is an abundant number, since it is smaller than the sum of its proper divisors (28121600).

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

16432000 is an equidigital number, since it uses as much as digits as its factorization.

16432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 16432000 is about 4053.6403392506. The cubic root of 16432000 is about 254.2319579046.

Adding to 16432000 its reverse (23461), we get a palindrome (16455461).

The spelling of 16432000 in words is "sixteen million, four hundred thirty-two thousand".