63360128 has 96 divisors (see below), whose sum is σ = 142794900. Its totient is φ = 27955200.

The previous prime is 63360127. The next prime is 63360137. The reversal of 63360128 is 82106336.

It can be written as a sum of positive squares in 6 ways, for example, as 26296384 + 37063744 = 5128^2 + 6088^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 63360128.

It is not an unprimeable number, because it can be changed into a prime (63360127) 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 11 ways as a sum of consecutive naturals, for example, 627278 + ... + 627378.

Almost surely, 2^63360128 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 63360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71397450).

63360128 is an abundant number, since it is smaller than the sum of its proper divisors (79434772).

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

63360128 is a wasteful number, since it uses less digits than its factorization.

63360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 63360128 is about 7959.9075371514. The cubic root of 63360128 is about 398.6624658242.

The spelling of 63360128 in words is "sixty-three million, three hundred sixty thousand, one hundred twenty-eight".