63066528 has 216 divisors, whose sum is σ = 215675460. Its totient is φ = 17418240.

The previous prime is 63066469. The next prime is 63066539. The reversal of 63066528 is 82566036.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 2039184 = 7812^2 + 1428^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63066492 and 63066501.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578538 + ... + 578646.

Almost surely, 2^63066528 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 63066528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107837730).

63066528 is an abundant number, since it is smaller than the sum of its proper divisors (152608932).

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

63066528 is a wasteful number, since it uses less digits than its factorization.

63066528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 63066528 is about 7941.4436974646. The cubic root of 63066528 is about 398.0457343302.

The spelling of 63066528 in words is "sixty-three million, sixty-six thousand, five hundred twenty-eight".