162642816 has 256 divisors, whose sum is σ = 562060800. Its totient is φ = 45909504.

The previous prime is 162642797. The next prime is 162642827. The reversal of 162642816 is 618246261.

162642816 is a `hidden beast` number, since 1 + 6 + 2 + 642 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1959511 + ... + 1959593.

It is an arithmetic number, because the mean of its divisors is an integer number (2195550).

Almost surely, 2^162642816 is an apocalyptic number.

162642816 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 162642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281030400).

162642816 is an abundant number, since it is smaller than the sum of its proper divisors (399417984).

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

162642816 is an frugal number, since it uses more digits than its factorization.

162642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 162642816 is about 12753.1492581244. The cubic root of 162642816 is about 545.8562597108.

The spelling of 162642816 in words is "one hundred sixty-two million, six hundred forty-two thousand, eight hundred sixteen".