66086505 has 48 divisors (see below), whose sum is σ = 120042000. Its totient is φ = 33589248.

The previous prime is 66086491. The next prime is 66086533. The reversal of 66086505 is 50568066.

It can be written as a sum of positive squares in 8 ways, for example, as 10419984 + 55666521 = 3228^2 + 7461^2 .

It is not a de Polignac number, because 66086505 - 2⁶ = 66086441 is a prime.

It is a super-2 number, since 2×66086505² = 8734852286230050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66086505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115861 + ... + 116429.

It is an arithmetic number, because the mean of its divisors is an integer number (2500875).

Almost surely, 2^66086505 is an apocalyptic number.

It is an amenable number.

66086505 is a deficient number, since it is larger than the sum of its proper divisors (53955495).

66086505 is a wasteful number, since it uses less digits than its factorization.

66086505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 66086505 is about 8129.3606759695. The cubic root of 66086505 is about 404.3004843079.

The spelling of 66086505 in words is "sixty-six million, eighty-six thousand, five hundred five".