55848000 has 224 divisors, whose sum is σ = 199704960. Its totient is φ = 13670400.

The previous prime is 55847999. The next prime is 55848007. The reversal of 55848000 is 84855.

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

It is not an unprimeable number, because it can be changed into a prime (55848007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311911 + ... + 312089.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^55848000 is an apocalyptic number.

55848000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

55848000 is an abundant number, since it is smaller than the sum of its proper divisors (143856960).

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

55848000 is a wasteful number, since it uses less digits than its factorization.

55848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 55848000 is about 7473.1519454645. The cubic root of 55848000 is about 382.2397734464.

The spelling of 55848000 in words is "fifty-five million, eight hundred forty-eight thousand".