55668960 has 144 divisors (see below), whose sum is σ = 193139856. Its totient is φ = 14598144.

The previous prime is 55668953. The next prime is 55668971. The reversal of 55668960 is 6986655.

55668960 is a `hidden beast` number, since 5 + 566 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96192 + ... + 96768.

It is an arithmetic number, because the mean of its divisors is an integer number (1341249).

Almost surely, 2^55668960 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 55668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96569928).

55668960 is an abundant number, since it is smaller than the sum of its proper divisors (137470896).

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

55668960 is a wasteful number, since it uses less digits than its factorization.

55668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 55668960 is about 7461.1634481494. The cubic root of 55668960 is about 381.8308690899.

The spelling of 55668960 in words is "fifty-five million, six hundred sixty-eight thousand, nine hundred sixty".