52585920 has 252 divisors, whose sum is σ = 196733160. Its totient is φ = 12856320.

The previous prime is 52585909. The next prime is 52585927. The reversal of 52585920 is 2958525.

52585920 is a `hidden beast` number, since 52 + 585 + 9 + 20 = 666.

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 (52585927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1696305 + ... + 1696335.

Almost surely, 2^52585920 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 52585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98366580).

52585920 is an abundant number, since it is smaller than the sum of its proper divisors (144147240).

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

52585920 is a wasteful number, since it uses less digits than its factorization.

52585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 52585920 is about 7251.6149925379. The cubic root of 52585920 is about 374.6477759388.

The spelling of 52585920 in words is "fifty-two million, five hundred eighty-five thousand, nine hundred twenty".