16536416 has 48 divisors (see below), whose sum is σ = 35449344. Its totient is φ = 7547904.

The previous prime is 16536391. The next prime is 16536437. The reversal of 16536416 is 61463561.

16536416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52676 + ... + 52988.

It is an arithmetic number, because the mean of its divisors is an integer number (738528).

Almost surely, 2^16536416 is an apocalyptic number.

16536416 is a gapful number since it is divisible by the number (16) 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 16536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724672).

16536416 is an abundant number, since it is smaller than the sum of its proper divisors (18912928).

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

16536416 is a wasteful number, since it uses less digits than its factorization.

16536416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 16536416 is about 4066.4992315258. The cubic root of 16536416 is about 254.7693210534.

Adding to 16536416 its reverse (61463561), we get a palindrome (77999977).

The spelling of 16536416 in words is "sixteen million, five hundred thirty-six thousand, four hundred sixteen".