162216768 has 112 divisors (see below), whose sum is σ = 494653824. Its totient is φ = 45957120.

The previous prime is 162216767. The next prime is 162216797. The reversal of 162216768 is 867612261.

It is a tau number, because it is divible by the number of its divisors (112).

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 (162216767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183688 + ... + 184568.

It is an arithmetic number, because the mean of its divisors is an integer number (4416552).

Almost surely, 2^162216768 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 162216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247326912).

162216768 is an abundant number, since it is smaller than the sum of its proper divisors (332437056).

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

162216768 is a wasteful number, since it uses less digits than its factorization.

162216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 162216768 is about 12736.4346659495. The cubic root of 162216768 is about 545.3792136773.

The spelling of 162216768 in words is "one hundred sixty-two million, two hundred sixteen thousand, seven hundred sixty-eight".