66846336 has 32 divisors (see below), whose sum is σ = 177561600. Its totient is φ = 22281984.

The previous prime is 66846331. The next prime is 66846337. The reversal of 66846336 is 63364866.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66846331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86656 + ... + 87423.

It is an arithmetic number, because the mean of its divisors is an integer number (5548800).

Almost surely, 2^66846336 is an apocalyptic number.

It is an amenable number.

66846336 is an abundant number, since it is smaller than the sum of its proper divisors (110715264).

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

66846336 is a wasteful number, since it uses less digits than its factorization.

66846336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174096 (or 174084 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 66846336 is about 8175.9608609631. The cubic root of 66846336 is about 405.8440680199.

The spelling of 66846336 in words is "sixty-six million, eight hundred forty-six thousand, three hundred thirty-six".