55848960 has 208 divisors, whose sum is σ = 200515680. Its totient is φ = 14745600.

The previous prime is 55848943. The next prime is 55848967. The reversal of 55848960 is 6984855.

55848960 is a `hidden beast` number, since 5 + 584 + 8 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55848967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552910 + ... + 553010.

Almost surely, 2^55848960 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 55848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100257840).

55848960 is an abundant number, since it is smaller than the sum of its proper divisors (144666720).

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

55848960 is a wasteful number, since it uses less digits than its factorization.

55848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55848960 is about 7473.2161751150. The cubic root of 55848960 is about 382.2419636059.

The spelling of 55848960 in words is "fifty-five million, eight hundred forty-eight thousand, nine hundred sixty".