55584540 has 144 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 13242240.

The previous prime is 55584527. The next prime is 55584541. The reversal of 55584540 is 4548555.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55584495 and 55584504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55584541) 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 47 ways as a sum of consecutive naturals, for example, 132451 + ... + 132869.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^55584540 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 55584540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

55584540 is an abundant number, since it is smaller than the sum of its proper divisors (131540580).

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

55584540 is a wasteful number, since it uses less digits than its factorization.

55584540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 55584540 is about 7455.5040071078. The cubic root of 55584540 is about 381.6377604605.

The spelling of 55584540 in words is "fifty-five million, five hundred eighty-four thousand, five hundred forty".