163488000 has 288 divisors, whose sum is σ = 589260672. Its totient is φ = 39936000.

The previous prime is 163487999. The next prime is 163488001. The reversal of 163488000 is 884361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (163487999) and next prime (163488001).

It is a super-2 number, since 2×163488000² = 53456652288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (163488001) 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 31 ways as a sum of consecutive naturals, for example, 1247935 + ... + 1248065.

It is an arithmetic number, because the mean of its divisors is an integer number (2046044).

Almost surely, 2^163488000 is an apocalyptic number.

163488000 is a gapful number since it is divisible by the number (10) 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 163488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294630336).

163488000 is an abundant number, since it is smaller than the sum of its proper divisors (425772672).

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

163488000 is a wasteful number, since it uses less digits than its factorization.

163488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

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

The square root of 163488000 is about 12786.2426068020. The cubic root of 163488000 is about 546.8001524776.

The spelling of 163488000 in words is "one hundred sixty-three million, four hundred eighty-eight thousand".