52032960 has 336 divisors, whose sum is σ = 213969600. Its totient is φ = 11354112.

The previous prime is 52032947. The next prime is 52032983. The reversal of 52032960 is 6923025.

52032960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 584596 + ... + 584684.

Almost surely, 2^52032960 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 52032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984800).

52032960 is an abundant number, since it is smaller than the sum of its proper divisors (161936640).

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

52032960 is a wasteful number, since it uses less digits than its factorization.

52032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 52032960 is about 7213.3875537087. The cubic root of 52032960 is about 373.3299602870.

Adding to 52032960 its reverse (6923025), we get a palindrome (58955985).

The spelling of 52032960 in words is "fifty-two million, thirty-two thousand, nine hundred sixty".