66580461 has 20 divisors (see below), whose sum is σ = 99811932. Its totient is φ = 44229888.

The previous prime is 66580411. The next prime is 66580477. The reversal of 66580461 is 16408566.

It can be written as a sum of positive squares in 2 ways, for example, as 19053225 + 47527236 = 4365^2 + 6894^2 .

It is not a de Polignac number, because 66580461 - 2¹³ = 66572269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66580411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24381 + ... + 26973.

Almost surely, 2^66580461 is an apocalyptic number.

It is an amenable number.

66580461 is a deficient number, since it is larger than the sum of its proper divisors (33231471).

66580461 is a wasteful number, since it uses less digits than its factorization.

66580461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66580461 is about 8159.6851042182. The cubic root of 66580461 is about 405.3052842258.

The spelling of 66580461 in words is "sixty-six million, five hundred eighty thousand, four hundred sixty-one".