368679168 has 288 divisors, whose sum is σ = 1284286080. Its totient is φ = 102850560.

The previous prime is 368679163. The next prime is 368679203. The reversal of 368679168 is 861976863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (368679163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988230 + ... + 988602.

Almost surely, 2^368679168 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 368679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642143040).

368679168 is an abundant number, since it is smaller than the sum of its proper divisors (915606912).

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

368679168 is a wasteful number, since it uses less digits than its factorization.

368679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 368679168 is about 19201.0199729077. The cubic root of 368679168 is about 717.0501531767.

The spelling of 368679168 in words is "three hundred sixty-eight million, six hundred seventy-nine thousand, one hundred sixty-eight".