53664512 has 144 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 21381120.

The previous prime is 53664511. The next prime is 53664517. The reversal of 53664512 is 21546635.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (21600) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (53664511) 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 15 ways as a sum of consecutive naturals, for example, 909539 + ... + 909597.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 2^53664512 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 53664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

53664512 is an abundant number, since it is smaller than the sum of its proper divisors (78786688).

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

53664512 is a wasteful number, since it uses less digits than its factorization.

53664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 53664512 is about 7325.6065960438. The cubic root of 53664512 is about 377.1919320459.

The spelling of 53664512 in words is "fifty-three million, six hundred sixty-four thousand, five hundred twelve".