63225216 has 96 divisors (see below), whose sum is σ = 184738320. Its totient is φ = 20751360.

The previous prime is 63225209. The next prime is 63225221. The reversal of 63225216 is 61252236.

63225216 is a `hidden beast` number, since 632 + 2 + 5 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (4320) is a multiple of the sum of its prime factors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 63225216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81406 + ... + 82178.

Almost surely, 2^63225216 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 63225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92369160).

63225216 is an abundant number, since it is smaller than the sum of its proper divisors (121513104).

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

63225216 is a wasteful number, since it uses less digits than its factorization.

63225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 849 counting only the distinct ones).

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

The square root of 63225216 is about 7951.4285508957. The cubic root of 63225216 is about 398.3793089365.

The spelling of 63225216 in words is "sixty-three million, two hundred twenty-five thousand, two hundred sixteen".