53127968 has 36 divisors (see below), whose sum is σ = 106310358. Its totient is φ = 26135040.

The previous prime is 53127959. The next prime is 53127973. The reversal of 53127968 is 86972135.

It can be written as a sum of positive squares in only one way, i.e., 39790864 + 13337104 = 6308^2 + 3652^2 .

53127968 is a modest number, since divided by 7968 gives 5312 as remainder.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 220328 + ... + 220568.

Almost surely, 2^53127968 is an apocalyptic number.

It is an amenable number.

53127968 is an abundant number, since it is smaller than the sum of its proper divisors (53182390).

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

53127968 is an equidigital number, since it uses as much as digits as its factorization.

53127968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 326 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 53127968 is about 7288.8934688332. The cubic root of 53127968 is about 375.9306496512.

The spelling of 53127968 in words is "fifty-three million, one hundred twenty-seven thousand, nine hundred sixty-eight".