16986816 has 168 divisors, whose sum is σ = 60862464. Its totient is φ = 4400640.

The previous prime is 16986799. The next prime is 16986841. The reversal of 16986816 is 61868961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44161 + ... + 44543.

Almost surely, 2^16986816 is an apocalyptic number.

16986816 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 16986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431232).

16986816 is an abundant number, since it is smaller than the sum of its proper divisors (43875648).

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

16986816 is a wasteful number, since it uses less digits than its factorization.

16986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 16986816 is about 4121.5065206791. The cubic root of 16986816 is about 257.0616717252.

The spelling of 16986816 in words is "sixteen million, nine hundred eighty-six thousand, eight hundred sixteen".