168457968 has 200 divisors, whose sum is σ = 576153600. Its totient is φ = 46500480.

The previous prime is 168457963. The next prime is 168457979. The reversal of 168457968 is 869754861.

168457968 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 579 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168457963) 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 39 ways as a sum of consecutive naturals, for example, 280933 + ... + 281531.

It is an arithmetic number, because the mean of its divisors is an integer number (2880768).

Almost surely, 2^168457968 is an apocalyptic number.

168457968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288076800).

168457968 is an abundant number, since it is smaller than the sum of its proper divisors (407695632).

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

168457968 is a wasteful number, since it uses less digits than its factorization.

168457968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 168457968 is about 12979.1358726226. The cubic root of 168457968 is about 552.2857688569.

The spelling of 168457968 in words is "one hundred sixty-eight million, four hundred fifty-seven thousand, nine hundred sixty-eight".