63045216 has 120 divisors (see below), whose sum is σ = 199783584. Its totient is φ = 19388160.

The previous prime is 63045193. The next prime is 63045221. The reversal of 63045216 is 61254036.

63045216 is a `hidden beast` number, since 630 + 4 + 5 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 63045216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32761 + ... + 34631.

Almost surely, 2^63045216 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 63045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891792).

63045216 is an abundant number, since it is smaller than the sum of its proper divisors (136738368).

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

63045216 is a wasteful number, since it uses less digits than its factorization.

63045216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 63045216 is about 7940.1017625721. The cubic root of 63045216 is about 398.0008922314. Note that the first 3 decimals are identical.

The spelling of 63045216 in words is "sixty-three million, forty-five thousand, two hundred sixteen".