52363584 has 336 divisors, whose sum is σ = 196746368. Its totient is φ = 13436928.

The previous prime is 52363583. The next prime is 52363609. The reversal of 52363584 is 48536325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52363583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415214 + ... + 1415250.

Almost surely, 2^52363584 is an apocalyptic number.

52363584 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 52363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98373184).

52363584 is an abundant number, since it is smaller than the sum of its proper divisors (144382784).

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

52363584 is a wasteful number, since it uses less digits than its factorization.

52363584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 62 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 52363584 is about 7236.2686517293. The cubic root of 52363584 is about 374.1190199518.

The spelling of 52363584 in words is "fifty-two million, three hundred sixty-three thousand, five hundred eighty-four".