53078560 has 48 divisors (see below), whose sum is σ = 126256536. Its totient is φ = 21086208.

The previous prime is 53078551. The next prime is 53078561. The reversal of 53078560 is 6587035.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18079504 + 34999056 = 4252^2 + 5916^2 .

It is not an unprimeable number, because it can be changed into a prime (53078561) 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 7 ways as a sum of consecutive naturals, for example, 24064 + ... + 26176.

Almost surely, 2^53078560 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 53078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63128268).

53078560 is an abundant number, since it is smaller than the sum of its proper divisors (73177976).

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

53078560 is a wasteful number, since it uses less digits than its factorization.

53078560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 53078560 is about 7285.5034143153. The cubic root of 53078560 is about 375.8140773884.

The spelling of 53078560 in words is "fifty-three million, seventy-eight thousand, five hundred sixty".