66484080 has 120 divisors (see below), whose sum is σ = 240484608. Its totient is φ = 16363008.

The previous prime is 66484069. The next prime is 66484087. The reversal of 66484080 is 8048466.

66484080 is a `hidden beast` number, since 6 + 648 + 4 + 0 + 8 + 0 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66484087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5809 + ... + 12911.

Almost surely, 2^66484080 is an apocalyptic number.

66484080 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 66484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120242304).

66484080 is an abundant number, since it is smaller than the sum of its proper divisors (174000528).

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

66484080 is a wasteful number, since it uses less digits than its factorization.

66484080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66484080 is about 8153.7770388943. Note that the first 3 decimals coincide. The cubic root of 66484080 is about 405.1096182473.

The spelling of 66484080 in words is "sixty-six million, four hundred eighty-four thousand, eighty".