63985600 has 168 divisors, whose sum is σ = 187086240. Its totient is φ = 21073920.

The previous prime is 63985583. The next prime is 63985601. The reversal of 63985600 is 658936.

It is a self number, because there is not a number n which added to its sum of digits gives 63985600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63985601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324702 + ... + 324898.

Almost surely, 2^63985600 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 63985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93543120).

63985600 is an abundant number, since it is smaller than the sum of its proper divisors (123100640).

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

63985600 is a wasteful number, since it uses less digits than its factorization.

63985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 63985600 is about 7999.0999493693. The cubic root of 63985600 is about 399.9699977497.

The spelling of 63985600 in words is "sixty-three million, nine hundred eighty-five thousand, six hundred".