53664208 has 80 divisors (see below), whose sum is σ = 121381120. Its totient is φ = 22768128.

The previous prime is 53664197. The next prime is 53664209. The reversal of 53664208 is 80246635.

It is a happy number.

53664208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53664209) 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 15 ways as a sum of consecutive naturals, for example, 146041 + ... + 146407.

It is an arithmetic number, because the mean of its divisors is an integer number (1517264).

Almost surely, 2^53664208 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 53664208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60690560).

53664208 is an abundant number, since it is smaller than the sum of its proper divisors (67716912).

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

53664208 is a wasteful number, since it uses less digits than its factorization.

53664208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 53664208 is about 7325.5858468794. The cubic root of 53664208 is about 377.1912198026.

The spelling of 53664208 in words is "fifty-three million, six hundred sixty-four thousand, two hundred eight".