66408 has 16 divisors (see below), whose sum is σ = 166080. Its totient is φ = 22128.

The previous prime is 66403. The next prime is 66413. The reversal of 66408 is 80466.

It is an interprime number because it is at equal distance from previous prime (66403) and next prime (66413).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2767 = 66408 / (6 + 6 + 4 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (66403) by changing a digit.

66408 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 3 ways as a sum of consecutive naturals, for example, 1360 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (10380).

2⁶⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

66408 is an abundant number, since it is smaller than the sum of its proper divisors (99672).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83040).

66408 is a wasteful number, since it uses less digits than its factorization.

66408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2772 counting only the distinct ones).

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

The square root of 66408 is about 257.6974970775. The cubic root of 66408 is about 40.4955032349.

Subtracting from 66408 its product of nonzero digits (1152), we obtain a palindrome (65256).

It can be divided in two parts, 66 and 408, that added together give a palindrome (474).

The spelling of 66408 in words is "sixty-six thousand, four hundred eight".