55342560 has 288 divisors, whose sum is σ = 219596832. Its totient is φ = 11612160.

The previous prime is 55342559. The next prime is 55342597. The reversal of 55342560 is 6524355.

55342560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 305670 + ... + 305850.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 2^55342560 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 55342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

55342560 is an abundant number, since it is smaller than the sum of its proper divisors (164254272).

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

55342560 is a wasteful number, since it uses less digits than its factorization.

55342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 55342560 is about 7439.2580275186. The cubic root of 55342560 is about 381.0831515731.

The spelling of 55342560 in words is "fifty-five million, three hundred forty-two thousand, five hundred sixty".