53584544 has 48 divisors (see below), whose sum is σ = 120308328. Its totient is φ = 23273472.

The previous prime is 53584519. The next prime is 53584577. The reversal of 53584544 is 44548535.

It can be written as a sum of positive squares in 4 ways, for example, as 26419600 + 27164944 = 5140^2 + 5212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53584498 and 53584507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3284 + ... + 10860.

Almost surely, 2^53584544 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 53584544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60154164).

53584544 is an abundant number, since it is smaller than the sum of its proper divisors (66723784).

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

53584544 is a wasteful number, since it uses less digits than its factorization.

53584544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617 (or 7609 counting only the distinct ones).

The product of its digits is 192000, while the sum is 38.

The square root of 53584544 is about 7320.1464466225. The cubic root of 53584544 is about 377.0044817907.

The spelling of 53584544 in words is "fifty-three million, five hundred eighty-four thousand, five hundred forty-four".