162468 has 18 divisors (see below), whose sum is σ = 410774. Its totient is φ = 54144.

The previous prime is 162457. The next prime is 162473. The reversal of 162468 is 864261.

162468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 79524 = 288^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162468.

It is an unprimeable number.

162468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2221 + ... + 2292.

2¹⁶²⁴⁶⁸ is an apocalyptic number.

162468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162468 is an abundant number, since it is smaller than the sum of its proper divisors (248306).

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

162468 is a wasteful number, since it uses less digits than its factorization.

162468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4518 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 162468 is about 403.0731943456. The cubic root of 162468 is about 54.5660619105.

It can be divided in two parts, 162 and 468, that added together give a triangular number (630 = T₃₅).

The spelling of 162468 in words is "one hundred sixty-two thousand, four hundred sixty-eight".