162668160 has 192 divisors, whose sum is σ = 580469760. Its totient is φ = 41932800.

The previous prime is 162668137. The next prime is 162668203. The reversal of 162668160 is 61866261.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178105 + ... + 179015.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^162668160 is an apocalyptic number.

162668160 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 162668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290234880).

162668160 is an abundant number, since it is smaller than the sum of its proper divisors (417801600).

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

162668160 is a wasteful number, since it uses less digits than its factorization.

162668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 162668160 is about 12754.1428563428. The cubic root of 162668160 is about 545.8846111270.

The spelling of 162668160 in words is "one hundred sixty-two million, six hundred sixty-eight thousand, one hundred sixty".