53288960 has 56 divisors (see below), whose sum is σ = 127983996. Its totient is φ = 21299200.

The previous prime is 53288959. The next prime is 53288981. The reversal of 53288960 is 6988235.

It can be written as a sum of positive squares in 2 ways, for example, as 43454464 + 9834496 = 6592^2 + 3136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40310 + ... + 41610.

Almost surely, 2^53288960 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 53288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63991998).

53288960 is an abundant number, since it is smaller than the sum of its proper divisors (74695036).

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

53288960 is an equidigital number, since it uses as much as digits as its factorization.

53288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 53288960 is about 7299.9287667757. The cubic root of 53288960 is about 376.3099903241.

The spelling of 53288960 in words is "fifty-three million, two hundred eighty-eight thousand, nine hundred sixty".