55664080 has 20 divisors (see below), whose sum is σ = 129419172. Its totient is φ = 22265600.

The previous prime is 55664057. The next prime is 55664083. The reversal of 55664080 is 8046655.

55664080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 42876304 = 3576^2 + 6548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55664083) 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 3 ways as a sum of consecutive naturals, for example, 347821 + ... + 347980.

Almost surely, 2^55664080 is an apocalyptic number.

It is an amenable number.

55664080 is an abundant number, since it is smaller than the sum of its proper divisors (73755092).

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

55664080 is a wasteful number, since it uses less digits than its factorization.

55664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695814 (or 695808 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 55664080 is about 7460.8364142367. The cubic root of 55664080 is about 381.8197115310.

The spelling of 55664080 in words is "fifty-five million, six hundred sixty-four thousand, eighty".