63967968 has 240 divisors, whose sum is σ = 208565280. Its totient is φ = 19160064.

The previous prime is 63967963. The next prime is 63967993. The reversal of 63967968 is 86976936.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63967963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1728846 + ... + 1728882.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 2^63967968 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 63967968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

63967968 is an abundant number, since it is smaller than the sum of its proper divisors (144597312).

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

63967968 is a wasteful number, since it uses less digits than its factorization.

63967968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 63967968 is about 7997.9977494370. The cubic root of 63967968 is about 399.9332555302.

The spelling of 63967968 in words is "sixty-three million, nine hundred sixty-seven thousand, nine hundred sixty-eight".