53205768 has 192 divisors, whose sum is σ = 187963200. Its totient is φ = 13789440.

The previous prime is 53205709. The next prime is 53205769. The reversal of 53205768 is 86750235.

53205768 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 (36).

It is not an unprimeable number, because it can be changed into a prime (53205769) 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 47 ways as a sum of consecutive naturals, for example, 116196 + ... + 116652.

It is an arithmetic number, because the mean of its divisors is an integer number (978975).

Almost surely, 2^53205768 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 53205768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93981600).

53205768 is an abundant number, since it is smaller than the sum of its proper divisors (134757432).

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

53205768 is a wasteful number, since it uses less digits than its factorization.

53205768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53205768 is about 7294.2284033337. The cubic root of 53205768 is about 376.1140630253.

The spelling of 53205768 in words is "fifty-three million, two hundred five thousand, seven hundred sixty-eight".