168864192 has 252 divisors, whose sum is σ = 584216256. Its totient is φ = 46448640.

The previous prime is 168864181. The next prime is 168864193. The reversal of 168864192 is 291468861.

168864192 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (165888) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168864193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874848 + ... + 875040.

Almost surely, 2^168864192 is an apocalyptic number.

168864192 is a gapful number since it is divisible by the number (12) 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 168864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292108128).

168864192 is an abundant number, since it is smaller than the sum of its proper divisors (415352064).

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

168864192 is a wasteful number, since it uses less digits than its factorization.

168864192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 168864192 is about 12994.7755655879. The cubic root of 168864192 is about 552.7293446682.

The spelling of 168864192 in words is "one hundred sixty-eight million, eight hundred sixty-four thousand, one hundred ninety-two".