71006580 has 36 divisors (see below), whose sum is σ = 215387172. Its totient is φ = 18935040.

The previous prime is 71006561. The next prime is 71006597. The reversal of 71006580 is 8560017.

71006580 is a `hidden beast` number, since 7 + 1 + 0 + 0 + 658 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30404196 + 40602384 = 5514^2 + 6372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197061 + ... + 197420.

It is an arithmetic number, because the mean of its divisors is an integer number (5982977).

Almost surely, 2^71006580 is an apocalyptic number.

It is an amenable number.

71006580 is an abundant number, since it is smaller than the sum of its proper divisors (144380592).

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

71006580 is a wasteful number, since it uses less digits than its factorization.

71006580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394496 (or 394491 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 71006580 is about 8426.5402152960. The cubic root of 71006580 is about 414.0945663691.

Adding to 71006580 its reverse (8560017), we get a palindrome (79566597).

The spelling of 71006580 in words is "seventy-one million, six thousand, five hundred eighty".