53760864 has 48 divisors (see below), whose sum is σ = 141801408. Its totient is φ = 17834112.

The previous prime is 53760857. The next prime is 53760869. The reversal of 53760864 is 46806735.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53760869) 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 7 ways as a sum of consecutive naturals, for example, 20559 + ... + 23025.

It is an arithmetic number, because the mean of its divisors is an integer number (2954196).

Almost surely, 2^53760864 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 53760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70900704).

53760864 is an abundant number, since it is smaller than the sum of its proper divisors (88040544).

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

53760864 is a wasteful number, since it uses less digits than its factorization.

53760864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 53760864 is about 7332.1800305230. The cubic root of 53760864 is about 377.4175402833.

The spelling of 53760864 in words is "fifty-three million, seven hundred sixty thousand, eight hundred sixty-four".