63967504 has 40 divisors (see below), whose sum is σ = 129735000. Its totient is φ = 30514176.

The previous prime is 63967499. The next prime is 63967507. The reversal of 63967504 is 40576936.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 62410000 = 1248^2 + 7900^2 .

It is not an unprimeable number, because it can be changed into a prime (63967507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40522 + ... + 42070.

It is an arithmetic number, because the mean of its divisors is an integer number (3243375).

Almost surely, 2^63967504 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 63967504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64867500).

63967504 is an abundant number, since it is smaller than the sum of its proper divisors (65767496).

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

63967504 is a wasteful number, since it uses less digits than its factorization.

63967504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 63967504 is about 7997.9687421245. The cubic root of 63967504 is about 399.9322885385.

The spelling of 63967504 in words is "sixty-three million, nine hundred sixty-seven thousand, five hundred four".