168480 has 120 divisors (see below), whose sum is σ = 640332. Its totient is φ = 41472.

The previous prime is 168463. The next prime is 168481. The reversal of 168480 is 84861.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 11664 = 396^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 78 × 30 × 72.

It is not an unprimeable number, because it can be changed into a prime (168481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12954 + ... + 12966.

2¹⁶⁸⁴⁸⁰ is an apocalyptic number.

168480 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 168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166).

168480 is an abundant number, since it is smaller than the sum of its proper divisors (471852).

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

168480 is a wasteful number, since it uses less digits than its factorization.

168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168480 is about 410.4631530357. The cubic root of 168480 is about 55.2309844951.

It can be divided in two parts, 1684 and 80, that added together give a square (1764 = 42²).

The spelling of 168480 in words is "one hundred sixty-eight thousand, four hundred eighty".