16038432 has 96 divisors (see below), whose sum is σ = 49291200. Its totient is φ = 5059584.

The previous prime is 16038431. The next prime is 16038437. The reversal of 16038432 is 23483061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 16038396 and 16038405.

It is not an unprimeable number, because it can be changed into a prime (16038431) 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 15 ways as a sum of consecutive naturals, for example, 15928 + ... + 16904.

It is an arithmetic number, because the mean of its divisors is an integer number (513450).

Almost surely, 2^16038432 is an apocalyptic number.

16038432 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 16038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645600).

16038432 is an abundant number, since it is smaller than the sum of its proper divisors (33252768).

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

16038432 is a wasteful number, since it uses less digits than its factorization.

16038432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

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

The square root of 16038432 is about 4004.8011186575. The cubic root of 16038432 is about 252.1858040129.

The spelling of 16038432 in words is "sixteen million, thirty-eight thousand, four hundred thirty-two".