63788688 has 80 divisors (see below), whose sum is σ = 184512000. Its totient is φ = 21098880.

The previous prime is 63788687. The next prime is 63788693. The reversal of 63788688 is 88688736.

It is a happy number.

63788688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63788688² = 8137993433522688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (63788687) 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 15 ways as a sum of consecutive naturals, for example, 63873 + ... + 64863.

It is an arithmetic number, because the mean of its divisors is an integer number (2306400).

Almost surely, 2^63788688 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 63788688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256000).

63788688 is an abundant number, since it is smaller than the sum of its proper divisors (120723312).

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

63788688 is a wasteful number, since it uses less digits than its factorization.

63788688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1145 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 63788688 is about 7986.7820804126. The cubic root of 63788688 is about 399.5592812625.

The spelling of 63788688 in words is "sixty-three million, seven hundred eighty-eight thousand, six hundred eighty-eight".