55308960 has 384 divisors, whose sum is σ = 232243200. Its totient is φ = 12026880.

The previous prime is 55308941. The next prime is 55308971. The reversal of 55308960 is 6980355.

55308960 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 (36).

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 63 ways as a sum of consecutive naturals, for example, 937411 + ... + 937469.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^55308960 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 55308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

55308960 is an abundant number, since it is smaller than the sum of its proper divisors (176934240).

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

55308960 is a wasteful number, since it uses less digits than its factorization.

55308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55308960 is about 7436.9993949173. Note that the first 3 decimals coincide. The cubic root of 55308960 is about 381.0060139171.

The spelling of 55308960 in words is "fifty-five million, three hundred eight thousand, nine hundred sixty".