55668480 has 288 divisors, whose sum is σ = 215846400. Its totient is φ = 11943936.

The previous prime is 55668479. The next prime is 55668511. The reversal of 55668480 is 8486655.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 510666 + ... + 510774.

Almost surely, 2^55668480 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 55668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107923200).

55668480 is an abundant number, since it is smaller than the sum of its proper divisors (160177920).

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

55668480 is a wasteful number, since it uses less digits than its factorization.

55668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 55668480 is about 7461.1312815149. The cubic root of 55668480 is about 381.8297716540.

The spelling of 55668480 in words is "fifty-five million, six hundred sixty-eight thousand, four hundred eighty".