67641800 has 96 divisors (see below), whose sum is σ = 164755080. Its totient is φ = 25804800.

The previous prime is 67641799. The next prime is 67641823. The reversal of 67641800 is 814676.

It can be written as a sum of positive squares in 12 ways, for example, as 6832996 + 60808804 = 2614^2 + 7798^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598544 + ... + 598656.

Almost surely, 2^67641800 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 67641800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82377540).

67641800 is an abundant number, since it is smaller than the sum of its proper divisors (97113280).

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

67641800 is a wasteful number, since it uses less digits than its factorization.

67641800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 67641800 is about 8224.4635083390. The cubic root of 67641800 is about 407.4475574552.

The spelling of 67641800 in words is "sixty-seven million, six hundred forty-one thousand, eight hundred".