55831200 has 144 divisors (see below), whose sum is σ = 186300576. Its totient is φ = 14515200.

The previous prime is 55831183. The next prime is 55831229. The reversal of 55831200 is 213855.

55831200 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 (24).

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 23 ways as a sum of consecutive naturals, for example, 102930 + ... + 103470.

It is an arithmetic number, because the mean of its divisors is an integer number (1293754).

Almost surely, 2^55831200 is an apocalyptic number.

55831200 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 55831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93150288).

55831200 is an abundant number, since it is smaller than the sum of its proper divisors (130469376).

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

55831200 is a wasteful number, since it uses less digits than its factorization.

55831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55831200 is about 7472.0278372072. The cubic root of 55831200 is about 382.2014415920.

The spelling of 55831200 in words is "fifty-five million, eight hundred thirty-one thousand, two hundred".