55585664 has 64 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 26138112.

The previous prime is 55585661. The next prime is 55585757. The reversal of 55585664 is 46658555.

55585664 = 104³ + 105³ + ... + 135³.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55585661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232457 + ... + 232695.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^55585664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

55585664 is an abundant number, since it is smaller than the sum of its proper divisors (61918336).

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

55585664 is a wasteful number, since it uses less digits than its factorization.

55585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its digits is 720000, while the sum is 44.

The square root of 55585664 is about 7455.5793872777. The cubic root of 55585664 is about 381.6403328661.

The spelling of 55585664 in words is "fifty-five million, five hundred eighty-five thousand, six hundred sixty-four".