162849168 has 60 divisors (see below), whose sum is σ = 460304988. Its totient is φ = 53740800.

The previous prime is 162849151. The next prime is 162849191. The reversal of 162849168 is 861948261.

162849168 is a `hidden beast` number, since 1 + 628 + 4 + 9 + 16 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105513984 + 57335184 = 10272^2 + 7572^2 .

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 11 ways as a sum of consecutive naturals, for example, 8946 + ... + 20142.

Almost surely, 2^162849168 is an apocalyptic number.

162849168 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 162849168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230152494).

162849168 is an abundant number, since it is smaller than the sum of its proper divisors (297455820).

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

162849168 is a wasteful number, since it uses less digits than its factorization.

162849168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312 (or 11303 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 162849168 is about 12761.2369306427. The cubic root of 162849168 is about 546.0870126592.

It can be divided in two parts, 16284 and 9168, that added together give a palindrome (25452).

The spelling of 162849168 in words is "one hundred sixty-two million, eight hundred forty-nine thousand, one hundred sixty-eight".