63685760 has 64 divisors (see below), whose sum is σ = 153489600. Its totient is φ = 25267200.

The previous prime is 63685747. The next prime is 63685763. The reversal of 63685760 is 6758636.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×63685760³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63685763) 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 7 ways as a sum of consecutive naturals, for example, 96311 + ... + 96969.

It is an arithmetic number, because the mean of its divisors is an integer number (2398275).

Almost surely, 2^63685760 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 63685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76744800).

63685760 is an abundant number, since it is smaller than the sum of its proper divisors (89803840).

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

63685760 is a wasteful number, since it uses less digits than its factorization.

63685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 63685760 is about 7980.3358325324. The cubic root of 63685760 is about 399.3442589299.

The spelling of 63685760 in words is "sixty-three million, six hundred eighty-five thousand, seven hundred sixty".