162681168 has 80 divisors (see below), whose sum is σ = 461220480. Its totient is φ = 49101312.

The previous prime is 162681161. The next prime is 162681179. The reversal of 162681168 is 861186261.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162681161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30613 + ... + 35531.

It is an arithmetic number, because the mean of its divisors is an integer number (5765256).

Almost surely, 2^162681168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230610240).

162681168 is an abundant number, since it is smaller than the sum of its proper divisors (298539312).

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

162681168 is a wasteful number, since it uses less digits than its factorization.

162681168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4990 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 162681168 is about 12754.6527980969. The cubic root of 162681168 is about 545.8991615626.

The spelling of 162681168 in words is "one hundred sixty-two million, six hundred eighty-one thousand, one hundred sixty-eight".