16416768 has 64 divisors (see below), whose sum is σ = 44039520. Its totient is φ = 5439488.

The previous prime is 16416761. The next prime is 16416791. The reversal of 16416768 is 86761461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (16416761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98221 + ... + 98387.

Almost surely, 2^16416768 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 16416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019760).

16416768 is an abundant number, since it is smaller than the sum of its proper divisors (27622752).

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

16416768 is an frugal number, since it uses more digits than its factorization.

16416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 16416768 is about 4051.7610985842. The cubic root of 16416768 is about 254.1533783372.

The spelling of 16416768 in words is "sixteen million, four hundred sixteen thousand, seven hundred sixty-eight".