55584000 has 216 divisors, whose sum is σ = 201043752. Its totient is φ = 14745600.

The previous prime is 55583989. The next prime is 55584047. The reversal of 55584000 is 48555.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 49112064 = 2544^2 + 7008^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287904 + ... + 288096.

Almost surely, 2^55584000 is an apocalyptic number.

55584000 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 55584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100521876).

55584000 is an abundant number, since it is smaller than the sum of its proper divisors (145459752).

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

55584000 is a wasteful number, since it uses less digits than its factorization.

55584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55584000 is about 7455.4677921644. The cubic root of 55584000 is about 381.6365245949.

The spelling of 55584000 in words is "fifty-five million, five hundred eighty-four thousand".