66480 has 40 divisors (see below), whose sum is σ = 206832. Its totient is φ = 17664.

The previous prime is 66467. The next prime is 66491. The reversal of 66480 is 8466.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 6³ + 6³ + 4⁸ + 8³ + 0 .

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 66480.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 378.

2⁶⁶⁴⁸⁰ is an apocalyptic number.

66480 is a gapful number since it is divisible by the number (60) 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 66480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103416).

66480 is an abundant number, since it is smaller than the sum of its proper divisors (140352).

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

66480 is a wasteful number, since it uses less digits than its factorization.

66480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66480 is about 257.8371579117. The cubic root of 66480 is about 40.5101331145.

The spelling of 66480 in words is "sixty-six thousand, four hundred eighty".