168800643 has 48 divisors (see below), whose sum is σ = 273162240. Its totient is φ = 99590400.

The previous prime is 168800629. The next prime is 168800683. The reversal of 168800643 is 346008861.

It is a happy number.

168800643 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 0 + 0 + 643 = 666.

It is not a de Polignac number, because 168800643 - 2²¹ = 166703491 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 168800598 and 168800607.

It is not an unprimeable number, because it can be changed into a prime (168800683) 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 47 ways as a sum of consecutive naturals, for example, 883678 + ... + 883868.

It is an arithmetic number, because the mean of its divisors is an integer number (5690880).

Almost surely, 2^168800643 is an apocalyptic number.

168800643 is a deficient number, since it is larger than the sum of its proper divisors (104361597).

168800643 is a wasteful number, since it uses less digits than its factorization.

168800643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 168800643 is about 12992.3301605216. The cubic root of 168800643 is about 552.6599993876.

The spelling of 168800643 in words is "one hundred sixty-eight million, eight hundred thousand, six hundred forty-three".