16788096 has 192 divisors, whose sum is σ = 55692000. Its totient is φ = 4810752.

The previous prime is 16788089. The next prime is 16788113. The reversal of 16788096 is 69088761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284515 + ... + 284573.

Almost surely, 2^16788096 is an apocalyptic number.

16788096 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 16788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

16788096 is an abundant number, since it is smaller than the sum of its proper divisors (38903904).

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

16788096 is a wasteful number, since it uses less digits than its factorization.

16788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 16788096 is about 4097.3279097480. The cubic root of 16788096 is about 256.0553265837.

The spelling of 16788096 in words is "sixteen million, seven hundred eighty-eight thousand, ninety-six".