66828407 has 12 divisors (see below), whose sum is σ = 69965280. Its totient is φ = 63802368.

The previous prime is 66828371. The next prime is 66828431. The reversal of 66828407 is 70482866.

It is not a de Polignac number, because 66828407 - 2²⁴ = 50051191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66828497) 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 11 ways as a sum of consecutive naturals, for example, 86519 + ... + 87287.

It is an arithmetic number, because the mean of its divisors is an integer number (5830440).

Almost surely, 2^66828407 is an apocalyptic number.

66828407 is a deficient number, since it is larger than the sum of its proper divisors (3136873).

66828407 is an equidigital number, since it uses as much as digits as its factorization.

66828407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 66828407 is about 8174.8643413821. The cubic root of 66828407 is about 405.8077806711.

The spelling of 66828407 in words is "sixty-six million, eight hundred twenty-eight thousand, four hundred seven".