16634016 has 144 divisors (see below), whose sum is σ = 55770624. Its totient is φ = 4603392.

The previous prime is 16633963. The next prime is 16634017. The reversal of 16634016 is 61043661.

16634016 is a `hidden beast` number, since 16 + 634 + 0 + 16 = 666.

16634016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16634017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74481 + ... + 74703.

It is an arithmetic number, because the mean of its divisors is an integer number (387296).

Almost surely, 2^16634016 is an apocalyptic number.

16634016 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 16634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885312).

16634016 is an abundant number, since it is smaller than the sum of its proper divisors (39136608).

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

16634016 is a wasteful number, since it uses less digits than its factorization.

16634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16634016 is about 4078.4820705748. The cubic root of 16634016 is about 255.2695649953.

Adding to 16634016 its reverse (61043661), we get a palindrome (77677677).

The spelling of 16634016 in words is "sixteen million, six hundred thirty-four thousand, sixteen".