63061128 has 96 divisors (see below), whose sum is σ = 186240600. Its totient is φ = 19160064.

The previous prime is 63061111. The next prime is 63061151. The reversal of 63061128 is 82116036.

63061128 is a `hidden beast` number, since 630 + 6 + 1 + 1 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37234404 + 25826724 = 6102^2 + 5082^2 .

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 23 ways as a sum of consecutive naturals, for example, 82926 + ... + 83682.

Almost surely, 2^63061128 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 63061128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93120300).

63061128 is an abundant number, since it is smaller than the sum of its proper divisors (123179472).

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

63061128 is a wasteful number, since it uses less digits than its factorization.

63061128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 63061128 is about 7941.1037016274. The cubic root of 63061128 is about 398.0343732676.

The spelling of 63061128 in words is "sixty-three million, sixty-one thousand, one hundred twenty-eight".