163488 has 48 divisors (see below), whose sum is σ = 465696. Its totient is φ = 49920.

The previous prime is 163487. The next prime is 163517. The reversal of 163488 is 884361.

It is a happy number.

163488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×163488² = 53456652288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (163481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2¹⁶³⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848).

163488 is an abundant number, since it is smaller than the sum of its proper divisors (302208).

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

163488 is a wasteful number, since it uses less digits than its factorization.

163488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 163488 is about 404.3364935298. The cubic root of 163488 is about 54.6800152478.

The spelling of 163488 in words is "one hundred sixty-three thousand, four hundred eighty-eight".