53064864 has 72 divisors (see below), whose sum is σ = 157483872. Its totient is φ = 16917120.

The previous prime is 53064863. The next prime is 53064877. The reversal of 53064864 is 46846035.

53064864 is a `hidden beast` number, since 5 + 3 + 0 + 648 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (53064863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2619 + ... + 10629.

It is an arithmetic number, because the mean of its divisors is an integer number (2187276).

Almost surely, 2^53064864 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 53064864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78741936).

53064864 is an abundant number, since it is smaller than the sum of its proper divisors (104419008).

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

53064864 is a wasteful number, since it uses less digits than its factorization.

53064864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8039 counting only the distinct ones).

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

The square root of 53064864 is about 7284.5634048994. The cubic root of 53064864 is about 375.7817505106.

The spelling of 53064864 in words is "fifty-three million, sixty-four thousand, eight hundred sixty-four".