53736320 has 128 divisors (see below), whose sum is σ = 148716000. Its totient is φ = 18350080.

The previous prime is 53736301. The next prime is 53736341. The reversal of 53736320 is 2363735.

53736320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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, 119456 + ... + 119904.

Almost surely, 2^53736320 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 53736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74358000).

53736320 is an abundant number, since it is smaller than the sum of its proper divisors (94979680).

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

53736320 is a wasteful number, since it uses less digits than its factorization.

53736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 29.

The square root of 53736320 is about 7330.5061216808. The cubic root of 53736320 is about 377.3600961039.

The spelling of 53736320 in words is "fifty-three million, seven hundred thirty-six thousand, three hundred twenty".