16045824 has 72 divisors (see below), whose sum is σ = 45254160. Its totient is φ = 5029888.

The previous prime is 16045811. The next prime is 16045829. The reversal of 16045824 is 42854061.

It is a junction number, because it is equal to n+sod(n) for n = 16045791 and 16045800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16045829) 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 7 ways as a sum of consecutive naturals, for example, 12442 + ... + 13670.

It is an arithmetic number, because the mean of its divisors is an integer number (628530).

Almost surely, 2^16045824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627080).

16045824 is an abundant number, since it is smaller than the sum of its proper divisors (29208336).

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

16045824 is a wasteful number, since it uses less digits than its factorization.

16045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 16045824 is about 4005.7239046145. The cubic root of 16045824 is about 252.2245416140.

Adding to 16045824 its reverse (42854061), we get a palindrome (58899885).

The spelling of 16045824 in words is "sixteen million, forty-five thousand, eight hundred twenty-four".