53208960 has 256 divisors, whose sum is σ = 200931840. Its totient is φ = 11722752.

The previous prime is 53208941. The next prime is 53208983. The reversal of 53208960 is 6980235.

It is a happy number.

53208960 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 497227 + ... + 497333.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 2^53208960 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 53208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465920).

53208960 is an abundant number, since it is smaller than the sum of its proper divisors (147722880).

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

53208960 is a wasteful number, since it uses less digits than its factorization.

53208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 53208960 is about 7294.4472031813. The cubic root of 53208960 is about 376.1215843407.

The spelling of 53208960 in words is "fifty-three million, two hundred eight thousand, nine hundred sixty".