16816968 has 96 divisors (see below), whose sum is σ = 53002560. Its totient is φ = 4717440.

The previous prime is 16816951. The next prime is 16816991. The reversal of 16816968 is 86961861.

It is a happy number.

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, 30471 + ... + 31017.

It is an arithmetic number, because the mean of its divisors is an integer number (552110).

Almost surely, 2^16816968 is an apocalyptic number.

16816968 is a gapful number since it is divisible by the number (18) 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 16816968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26501280).

16816968 is an abundant number, since it is smaller than the sum of its proper divisors (36185592).

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

16816968 is a wasteful number, since it uses less digits than its factorization.

16816968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

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

The square root of 16816968 is about 4100.8496680566. The cubic root of 16816968 is about 256.2020296482.

It can be divided in two parts, 1681 and 6968, that added together give a square (8649 = 93²).

The spelling of 16816968 in words is "sixteen million, eight hundred sixteen thousand, nine hundred sixty-eight".