55343200 has 144 divisors (see below), whose sum is σ = 155615040. Its totient is φ = 19008000.

The previous prime is 55343191. The next prime is 55343203. The reversal of 55343200 is 234355.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55343203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167035 + ... + 167365.

It is an arithmetic number, because the mean of its divisors is an integer number (1080660).

Almost surely, 2^55343200 is an apocalyptic number.

55343200 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 55343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77807520).

55343200 is an abundant number, since it is smaller than the sum of its proper divisors (100271840).

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

55343200 is a wasteful number, since it uses less digits than its factorization.

55343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 55343200 is about 7439.3010424367. The cubic root of 55343200 is about 381.0846205587.

Adding to 55343200 its reverse (234355), we get a palindrome (55577555).

The spelling of 55343200 in words is "fifty-five million, three hundred forty-three thousand, two hundred".