168064160 has 72 divisors (see below), whose sum is σ = 436478868. Its totient is φ = 61107200.

The previous prime is 168064153. The next prime is 168064163. The reversal of 168064160 is 61460861.

It is a happy number.

168064160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166203664 + 1860496 = 12892^2 + 1364^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (168064163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15020 + ... + 23700.

Almost surely, 2^168064160 is an apocalyptic number.

168064160 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 168064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218239434).

168064160 is an abundant number, since it is smaller than the sum of its proper divisors (268414708).

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

168064160 is a wasteful number, since it uses less digits than its factorization.

168064160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 168064160 is about 12963.9561862882. The cubic root of 168064160 is about 551.8550694214.

The spelling of 168064160 in words is "one hundred sixty-eight million, sixty-four thousand, one hundred sixty".