55387584 has 224 divisors, whose sum is σ = 196697600. Its totient is φ = 14929920.

The previous prime is 55387583. The next prime is 55387613. The reversal of 55387584 is 48578355.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×55387584² = 6135568922714112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55387583) 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 31 ways as a sum of consecutive naturals, for example, 229704 + ... + 229944.

Almost surely, 2^55387584 is an apocalyptic number.

55387584 is a gapful number since it is divisible by the number (54) 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 55387584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98348800).

55387584 is an abundant number, since it is smaller than the sum of its proper divisors (141310016).

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

55387584 is a wasteful number, since it uses less digits than its factorization.

55387584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 55387584 is about 7442.2835205332. The cubic root of 55387584 is about 381.1864670984.

The spelling of 55387584 in words is "fifty-five million, three hundred eighty-seven thousand, five hundred eighty-four".