162165888 has 80 divisors (see below), whose sum is σ = 482633910. Its totient is φ = 54051840.

The previous prime is 162165881. The next prime is 162165889. The reversal of 162165888 is 888561261.

162165888 is a `hidden beast` number, since 1 + 62 + 1 + 6 + 588 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 75898944 = 9288^2 + 8712^2 .

It is not an unprimeable number, because it can be changed into a prime (162165881) 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 9 ways as a sum of consecutive naturals, for example, 2548 + ... + 18188.

Almost surely, 2^162165888 is an apocalyptic number.

162165888 is a gapful number since it is divisible by the number (18) 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 162165888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241316955).

162165888 is an abundant number, since it is smaller than the sum of its proper divisors (320468022).

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

162165888 is an equidigital number, since it uses as much as digits as its factorization.

162165888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15667 (or 15646 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 162165888 is about 12734.4370900327. The cubic root of 162165888 is about 545.3221875215.

It can be divided in two parts, 162 and 165888, that multiplied together give a 4-th power (26873856 = 72⁴).

The spelling of 162165888 in words is "one hundred sixty-two million, one hundred sixty-five thousand, eight hundred eighty-eight".