162216720 has 240 divisors, whose sum is σ = 598019760. Its totient is φ = 39223296.

The previous prime is 162216701. The next prime is 162216721. The reversal of 162216720 is 27612261.

162216720 is a `hidden beast` number, since 1 + 622 + 16 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13571856 + 148644864 = 3684^2 + 12192^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (162216721) 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 47 ways as a sum of consecutive naturals, for example, 354732 + ... + 355188.

It is an arithmetic number, because the mean of its divisors is an integer number (2491749).

Almost surely, 2^162216720 is an apocalyptic number.

162216720 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 162216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299009880).

162216720 is an abundant number, since it is smaller than the sum of its proper divisors (435803040).

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

162216720 is a wasteful number, since it uses less digits than its factorization.

162216720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 162216720 is about 12736.4327815916. The cubic root of 162216720 is about 545.3791598847.

Adding to 162216720 its reverse (27612261), we get a palindrome (189828981).

The spelling of 162216720 in words is "one hundred sixty-two million, two hundred sixteen thousand, seven hundred twenty".