67680100 has 36 divisors (see below), whose sum is σ = 148342068. Its totient is φ = 26800000.

The previous prime is 67680097. The next prime is 67680133. The reversal of 67680100 is 108676.

It can be written as a sum of positive squares in 6 ways, for example, as 702244 + 66977856 = 838^2 + 8184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6750 + ... + 13450.

It is an arithmetic number, because the mean of its divisors is an integer number (4120613).

Almost surely, 2^67680100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67680100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74171034).

67680100 is an abundant number, since it is smaller than the sum of its proper divisors (80661968).

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

67680100 is a wasteful number, since it uses less digits than its factorization.

67680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 67680100 is about 8226.7915981870. The cubic root of 67680100 is about 407.5244443163.

Adding to 67680100 its reverse (108676), we get a palindrome (67788776).

The spelling of 67680100 in words is "sixty-seven million, six hundred eighty thousand, one hundred".