16768900 has 36 divisors (see below), whose sum is σ = 36998500. Its totient is φ = 6595200.

The previous prime is 16768897. The next prime is 16768901. The reversal of 16768900 is 986761.

It can be written as a sum of positive squares in 6 ways, for example, as 6310144 + 10458756 = 2512^2 + 3234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16768900.

It is not an unprimeable number, because it can be changed into a prime (16768901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4726 + ... + 7474.

Almost surely, 2^16768900 is an apocalyptic number.

16768900 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 16768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499250).

16768900 is an abundant number, since it is smaller than the sum of its proper divisors (20229600).

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

16768900 is a wasteful number, since it uses less digits than its factorization.

16768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 16768900 is about 4094.9847374563. The cubic root of 16768900 is about 255.9576956463.

The spelling of 16768900 in words is "sixteen million, seven hundred sixty-eight thousand, nine hundred".