53064648 has 216 divisors, whose sum is σ = 183064050. Its totient is φ = 13837824.

The previous prime is 53064647. The next prime is 53064679. The reversal of 53064648 is 84646035.

53064648 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 4 + 648 = 666.

53064648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 17994564 + 35070084 = 4242^2 + 5922^2 .

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 (53064647) 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 53 ways as a sum of consecutive naturals, for example, 596188 + ... + 596276.

Almost surely, 2^53064648 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 53064648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91532025).

53064648 is an abundant number, since it is smaller than the sum of its proper divisors (129999402).

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

53064648 is a wasteful number, since it uses less digits than its factorization.

53064648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 53064648 is about 7284.5485790130. The cubic root of 53064648 is about 375.7812406379.

The spelling of 53064648 in words is "fifty-three million, sixty-four thousand, six hundred forty-eight".