55324800 has 288 divisors, whose sum is σ = 210873780. Its totient is φ = 13762560.

The previous prime is 55324799. The next prime is 55324807. The reversal of 55324800 is 842355.

It can be written as a sum of positive squares in 6 ways, for example, as 11128896 + 44195904 = 3336^2 + 6648^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55324807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489544 + ... + 489656.

Almost surely, 2^55324800 is an apocalyptic number.

55324800 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 55324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105436890).

55324800 is an abundant number, since it is smaller than the sum of its proper divisors (155548980).

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

55324800 is a wasteful number, since it uses less digits than its factorization.

55324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

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

The square root of 55324800 is about 7438.0642643096. The cubic root of 55324800 is about 381.0423827033.

The spelling of 55324800 in words is "fifty-five million, three hundred twenty-four thousand, eight hundred".