53985960 has 256 divisors, whose sum is σ = 212313600. Its totient is φ = 11943936.

The previous prime is 53985937. The next prime is 53985961. The reversal of 53985960 is 6958935.

53985960 is a `hidden beast` number, since 53 + 9 + 8 + 596 + 0 = 666.

53985960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53985961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 279624 + ... + 279816.

It is an arithmetic number, because the mean of its divisors is an integer number (829350).

Almost surely, 2^53985960 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 53985960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106156800).

53985960 is an abundant number, since it is smaller than the sum of its proper divisors (158327640).

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

53985960 is a wasteful number, since it uses less digits than its factorization.

53985960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 53985960 is about 7347.5138652472. The cubic root of 53985960 is about 377.9435541817.

It can be divided in two parts, 53985 and 960, that added together give a palindrome (54945).

The spelling of 53985960 in words is "fifty-three million, nine hundred eighty-five thousand, nine hundred sixty".