66080520 has 288 divisors, whose sum is σ = 248353560. Its totient is φ = 15206400.

The previous prime is 66080503. The next prime is 66080579. The reversal of 66080520 is 2508066.

66080520 is a `hidden beast` number, since 6 + 60 + 80 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49871844 + 16208676 = 7062^2 + 4026^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1611700 + ... + 1611740.

Almost surely, 2^66080520 is an apocalyptic number.

66080520 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 66080520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124176780).

66080520 is an abundant number, since it is smaller than the sum of its proper divisors (182273040).

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

66080520 is a wasteful number, since it uses less digits than its factorization.

66080520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66080520 is about 8128.9925575067. The cubic root of 66080520 is about 404.2882790352.

Adding to 66080520 its reverse (2508066), we get a palindrome (68588586).

The spelling of 66080520 in words is "sixty-six million, eighty thousand, five hundred twenty".