16801668 has 60 divisors (see below), whose sum is σ = 47313420. Its totient is φ = 5168448.

The previous prime is 16801651. The next prime is 16801679. The reversal of 16801668 is 86610861.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 11819844 = 2232^2 + 3438^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2218 + ... + 6206.

It is an arithmetic number, because the mean of its divisors is an integer number (788557).

Almost surely, 2^16801668 is an apocalyptic number.

16801668 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 16801668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23656710).

16801668 is an abundant number, since it is smaller than the sum of its proper divisors (30511752).

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

16801668 is a wasteful number, since it uses less digits than its factorization.

16801668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16801668 is about 4098.9837764988. The cubic root of 16801668 is about 256.1243089315.

The spelling of 16801668 in words is "sixteen million, eight hundred one thousand, six hundred sixty-eight".