55843200 has 288 divisors, whose sum is σ = 228549360. Its totient is φ = 12718080.

The previous prime is 55843187. The next prime is 55843213. The reversal of 55843200 is 234855.

It is an interprime number because it is at equal distance from previous prime (55843187) and next prime (55843213).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201462 + ... + 201738.

Almost surely, 2^55843200 is an apocalyptic number.

55843200 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 55843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114274680).

55843200 is an abundant number, since it is smaller than the sum of its proper divisors (172706160).

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

55843200 is a wasteful number, since it uses less digits than its factorization.

55843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55843200 is about 7472.8307889313. The cubic root of 55843200 is about 382.2288222725.

The spelling of 55843200 in words is "fifty-five million, eight hundred forty-three thousand, two hundred".