646023168 has 192 divisors, whose sum is σ = 2188368000. Its totient is φ = 184467456.

The previous prime is 646023163. The next prime is 646023173. The reversal of 646023168 is 861320646.

646023168 is a `hidden beast` number, since 646 + 0 + 2 + 3 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (646023163) and next prime (646023173).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (646023163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 386238 + ... + 387906.

It is an arithmetic number, because the mean of its divisors is an integer number (11397750).

Almost surely, 2^646023168 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 646023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094184000).

646023168 is an abundant number, since it is smaller than the sum of its proper divisors (1542344832).

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

646023168 is a wasteful number, since it uses less digits than its factorization.

646023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 646023168 is about 25416.9858165755. The cubic root of 646023168 is about 864.4688813008.

The spelling of 646023168 in words is "six hundred forty-six million, twenty-three thousand, one hundred sixty-eight".