66577623 has 24 divisors (see below), whose sum is σ = 104734080. Its totient is φ = 37502640.

The previous prime is 66577619. The next prime is 66577633. The reversal of 66577623 is 32677566.

It is not a de Polignac number, because 66577623 - 2² = 66577619 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66577603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7248 + ... + 13626.

It is an arithmetic number, because the mean of its divisors is an integer number (4363920).

Almost surely, 2^66577623 is an apocalyptic number.

66577623 is a deficient number, since it is larger than the sum of its proper divisors (38156457).

66577623 is a wasteful number, since it uses less digits than its factorization.

66577623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6460 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 66577623 is about 8159.5111985952. The cubic root of 66577623 is about 405.2995254155.

The spelling of 66577623 in words is "sixty-six million, five hundred seventy-seven thousand, six hundred twenty-three".