63688842 has 96 divisors (see below), whose sum is σ = 166088832. Its totient is φ = 17915904.

The previous prime is 63688811. The next prime is 63688847. The reversal of 63688842 is 24888636.

It is a happy number.

63688842 is a `hidden beast` number, since 636 + 8 + 8 + 8 + 4 + 2 = 666.

63688842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63688847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329898 + ... + 330090.

It is an arithmetic number, because the mean of its divisors is an integer number (1730092).

Almost surely, 2^63688842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63688842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83044416).

63688842 is an abundant number, since it is smaller than the sum of its proper divisors (102399990).

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

63688842 is a wasteful number, since it uses less digits than its factorization.

63688842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 63688842 is about 7980.5289298392. The cubic root of 63688842 is about 399.3507007632.

The spelling of 63688842 in words is "sixty-three million, six hundred eighty-eight thousand, eight hundred forty-two".