53652960 has 288 divisors, whose sum is σ = 201670560. Its totient is φ = 12939264.

The previous prime is 53652919. The next prime is 53652983. The reversal of 53652960 is 6925635.

53652960 is a `hidden beast` number, since 5 + 365 + 296 + 0 = 666.

53652960 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 (288).

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

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, 1012294 + ... + 1012346.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^53652960 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 53652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

53652960 is an abundant number, since it is smaller than the sum of its proper divisors (148017600).

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

53652960 is a wasteful number, since it uses less digits than its factorization.

53652960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 53652960 is about 7324.8180864783. The cubic root of 53652960 is about 377.1648649101.

The spelling of 53652960 in words is "fifty-three million, six hundred fifty-two thousand, nine hundred sixty".