55987584 has 64 divisors (see below), whose sum is σ = 149638080. Its totient is φ = 18547200.

The previous prime is 55987583. The next prime is 55987609. The reversal of 55987584 is 48578955.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55987583) 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 7 ways as a sum of consecutive naturals, for example, 80679 + ... + 81369.

It is an arithmetic number, because the mean of its divisors is an integer number (2338095).

Almost surely, 2^55987584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74819040).

55987584 is an abundant number, since it is smaller than the sum of its proper divisors (93650496).

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

55987584 is a wasteful number, since it uses less digits than its factorization.

55987584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 907 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 51.

The square root of 55987584 is about 7482.4851486655. The cubic root of 55987584 is about 382.5579595198.

The spelling of 55987584 in words is "fifty-five million, nine hundred eighty-seven thousand, five hundred eighty-four".