53303760 has 120 divisors (see below), whose sum is σ = 181030824. Its totient is φ = 14054400.

The previous prime is 53303753. The next prime is 53303807. The reversal of 53303760 is 6730335.

53303760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34433424 + 18870336 = 5868^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 72354 + ... + 73086.

Almost surely, 2^53303760 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 53303760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90515412).

53303760 is an abundant number, since it is smaller than the sum of its proper divisors (127727064).

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

53303760 is a wasteful number, since it uses less digits than its factorization.

53303760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 53303760 is about 7300.9424049228. The cubic root of 53303760 is about 376.3448247585.

The spelling of 53303760 in words is "fifty-three million, three hundred three thousand, seven hundred sixty".