168564960 has 288 divisors, whose sum is σ = 621522720. Its totient is φ = 41472000.

The previous prime is 168564931. The next prime is 168564967. The reversal of 168564960 is 69465861.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168564967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668910 + ... + 1669010.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^168564960 is an apocalyptic number.

168564960 is a gapful number since it is divisible by the number (10) 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 168564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310761360).

168564960 is an abundant number, since it is smaller than the sum of its proper divisors (452957760).

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

168564960 is a wasteful number, since it uses less digits than its factorization.

168564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 168564960 is about 12983.2569103442. The cubic root of 168564960 is about 552.4026677570.

Subtracting from 168564960 its reverse (69465861), we obtain a palindrome (99099099).

The spelling of 168564960 in words is "one hundred sixty-eight million, five hundred sixty-four thousand, nine hundred sixty".