162147216 has 160 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 39882240.

The previous prime is 162147179. The next prime is 162147247. The reversal of 162147216 is 612741261.

162147216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69070 + ... + 71378.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^162147216 is an apocalyptic number.

162147216 is a gapful number since it is divisible by the number (16) 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 162147216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

162147216 is an abundant number, since it is smaller than the sum of its proper divisors (387817584).

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

162147216 is a wasteful number, since it uses less digits than its factorization.

162147216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2351 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 162147216 is about 12733.7039387603. The cubic root of 162147216 is about 545.3012570064.

Adding to 162147216 its reverse (612741261), we get a palindrome (774888477).

The spelling of 162147216 in words is "one hundred sixty-two million, one hundred forty-seven thousand, two hundred sixteen".