368973168 has 80 divisors (see below), whose sum is σ = 1014506496. Its totient is φ = 115153920.

The previous prime is 368973167. The next prime is 368973211. The reversal of 368973168 is 861379863.

It is a super-2 number, since 2×368973168² = 272282397407912448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 368973168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368973161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171105 + ... + 173247.

Almost surely, 2^368973168 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 368973168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507253248).

368973168 is an abundant number, since it is smaller than the sum of its proper divisors (645533328).

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

368973168 is a wasteful number, since it uses less digits than its factorization.

368973168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2376 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 368973168 is about 19208.6742905386. The cubic root of 368973168 is about 717.2407043399.

The spelling of 368973168 in words is "three hundred sixty-eight million, nine hundred seventy-three thousand, one hundred sixty-eight".