53038960 has 60 divisors (see below), whose sum is σ = 133565112. Its totient is φ = 19578624.

The previous prime is 53038957. The next prime is 53038961. The reversal of 53038960 is 6983035.

53038960 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 (53038961) 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 11 ways as a sum of consecutive naturals, for example, 11559 + ... + 15481.

Almost surely, 2^53038960 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 53038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66782556).

53038960 is an abundant number, since it is smaller than the sum of its proper divisors (80526152).

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

53038960 is a wasteful number, since it uses less digits than its factorization.

53038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 53038960 is about 7282.7851815085. The cubic root of 53038960 is about 375.7205936916.

The spelling of 53038960 in words is "fifty-three million, thirty-eight thousand, nine hundred sixty".