52584320 has 32 divisors (see below), whose sum is σ = 125710920. Its totient is φ = 21033472.

The previous prime is 52584307. The next prime is 52584353. The reversal of 52584320 is 2348525.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×52584320² = 5530221419724800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 40442 + ... + 41721.

Almost surely, 2^52584320 is an apocalyptic number.

It is an amenable number.

52584320 is an abundant number, since it is smaller than the sum of its proper divisors (73126600).

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

52584320 is an equidigital number, since it uses as much as digits as its factorization.

52584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82182 (or 82170 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 52584320 is about 7251.5046714458. The cubic root of 52584320 is about 374.6439761731.

The spelling of 52584320 in words is "fifty-two million, five hundred eighty-four thousand, three hundred twenty".