66408120 has 128 divisors (see below), whose sum is σ = 234446400. Its totient is φ = 16662528.

The previous prime is 66408113. The next prime is 66408127. The reversal of 66408120 is 2180466.

66408120 is a `hidden beast` number, since 6 + 640 + 8 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66408113) and next prime (66408127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66408127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16552 + ... + 20168.

Almost surely, 2^66408120 is an apocalyptic number.

66408120 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 66408120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117223200).

66408120 is an abundant number, since it is smaller than the sum of its proper divisors (168038280).

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

66408120 is a wasteful number, since it uses less digits than its factorization.

66408120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 66408120 is about 8149.1177436579. The cubic root of 66408120 is about 404.9552762685.

Adding to 66408120 its reverse (2180466), we get a palindrome (68588586).

The spelling of 66408120 in words is "sixty-six million, four hundred eight thousand, one hundred twenty".