66034875 has 32 divisors (see below), whose sum is σ = 110440512. Its totient is φ = 35040000.

The previous prime is 66034849. The next prime is 66034877. The reversal of 66034875 is 57843066.

It is not a de Polignac number, because 66034875 - 2⁶ = 66034811 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66034877) 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 31 ways as a sum of consecutive naturals, for example, 109575 + ... + 110175.

It is an arithmetic number, because the mean of its divisors is an integer number (3451266).

Almost surely, 2^66034875 is an apocalyptic number.

66034875 is a deficient number, since it is larger than the sum of its proper divisors (44405637).

66034875 is a wasteful number, since it uses less digits than its factorization.

66034875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 66034875 is about 8126.1845290394. The cubic root of 66034875 is about 404.1951704605.

The spelling of 66034875 in words is "sixty-six million, thirty-four thousand, eight hundred seventy-five".