63263616 has 256 divisors, whose sum is σ = 205632000. Its totient is φ = 17031168.

The previous prime is 63263581. The next prime is 63263617. The reversal of 63263616 is 61636236.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63263617) 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 31 ways as a sum of consecutive naturals, for example, 2181490 + ... + 2181518.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^63263616 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 63263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

63263616 is an abundant number, since it is smaller than the sum of its proper divisors (142368384).

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

63263616 is a wasteful number, since it uses less digits than its factorization.

63263616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 63263616 is about 7953.8428448141. The cubic root of 63263616 is about 398.4599448517.

The spelling of 63263616 in words is "sixty-three million, two hundred sixty-three thousand, six hundred sixteen".