66335920 has 40 divisors (see below), whose sum is σ = 176265504. Its totient is φ = 22743552.

The previous prime is 66335917. The next prime is 66335923. The reversal of 66335920 is 2953366.

66335920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66335917) and next prime (66335923).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (66335923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58669 + ... + 59788.

Almost surely, 2^66335920 is an apocalyptic number.

It is an amenable number.

66335920 is an abundant number, since it is smaller than the sum of its proper divisors (109929584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66335920 is a wasteful number, since it uses less digits than its factorization.

66335920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118477 (or 118471 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 66335920 is about 8144.6866115278. The cubic root of 66335920 is about 404.8084650388.

The spelling of 66335920 in words is "sixty-six million, three hundred thirty-five thousand, nine hundred twenty".