16168680 has 128 divisors (see below), whose sum is σ = 58838400. Its totient is φ = 3916800.

The previous prime is 16168661. The next prime is 16168681. The reversal of 16168680 is 8686161.

It is a super-2 number, since 2×16168680² = 522852425884800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (16168681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11200 + ... + 12560.

It is an arithmetic number, because the mean of its divisors is an integer number (459675).

Almost surely, 2^16168680 is an apocalyptic number.

16168680 is a gapful number since it is divisible by the number (10) 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 16168680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29419200).

16168680 is an abundant number, since it is smaller than the sum of its proper divisors (42669720).

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

16168680 is a wasteful number, since it uses less digits than its factorization.

16168680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1382 counting only the distinct ones).

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

The square root of 16168680 is about 4021.0297188656. The cubic root of 16168680 is about 252.8666307434.

It can be divided in two parts, 1616 and 8680, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 16168680 in words is "sixteen million, one hundred sixty-eight thousand, six hundred eighty".