53385584 has 40 divisors (see below), whose sum is σ = 119322720. Its totient is φ = 22664448.

The previous prime is 53385571. The next prime is 53385587. The reversal of 53385584 is 48558335.

53385584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53385587) by changing a digit.

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, 10022 + ... + 14394.

It is an arithmetic number, because the mean of its divisors is an integer number (2983068).

Almost surely, 2^53385584 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 53385584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59661360).

53385584 is an abundant number, since it is smaller than the sum of its proper divisors (65937136).

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

53385584 is a wasteful number, since it uses less digits than its factorization.

53385584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4491 counting only the distinct ones).

The product of its digits is 288000, while the sum is 41.

The square root of 53385584 is about 7306.5439162438. The cubic root of 53385584 is about 376.5372958309.

The spelling of 53385584 in words is "fifty-three million, three hundred eighty-five thousand, five hundred eighty-four".