55984000 has 64 divisors (see below), whose sum is σ = 139230000. Its totient is φ = 22387200.

The previous prime is 55983989. The next prime is 55984039. The reversal of 55984000 is 48955.

55984000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14251 + ... + 17749.

Almost surely, 2^55984000 is an apocalyptic number.

55984000 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 55984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69615000).

55984000 is an abundant number, since it is smaller than the sum of its proper divisors (83246000).

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

55984000 is an equidigital number, since it uses as much as digits as its factorization.

55984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 55984000 is about 7482.2456522090. The cubic root of 55984000 is about 382.5497962993.

The spelling of 55984000 in words is "fifty-five million, nine hundred eighty-four thousand".