63133668 has 90 divisors (see below), whose sum is σ = 178871154. Its totient is φ = 19408896.

The previous prime is 63133657. The next prime is 63133691. The reversal of 63133668 is 86633136.

It can be written as a sum of positive squares in 3 ways, for example, as 1542564 + 61591104 = 1242^2 + 7848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54180 + ... + 55332.

Almost surely, 2^63133668 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 63133668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89435577).

63133668 is an abundant number, since it is smaller than the sum of its proper divisors (115737486).

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

63133668 is a wasteful number, since it uses less digits than its factorization.

63133668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1171 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 63133668 is about 7945.6697640916. The cubic root of 63133668 is about 398.1869360812.

The spelling of 63133668 in words is "sixty-three million, one hundred thirty-three thousand, six hundred sixty-eight".