63768940 has 48 divisors (see below), whose sum is σ = 144436320. Its totient is φ = 23569920.

The previous prime is 63768917. The next prime is 63768977. The reversal of 63768940 is 4986736.

It is a happy number.

63768940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 13534 + ... + 17626.

It is an arithmetic number, because the mean of its divisors is an integer number (3009090).

Almost surely, 2^63768940 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 63768940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72218160).

63768940 is an abundant number, since it is smaller than the sum of its proper divisors (80667380).

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

63768940 is a wasteful number, since it uses less digits than its factorization.

63768940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 63768940 is about 7985.5456920614. The cubic root of 63768940 is about 399.5180445305.

The spelling of 63768940 in words is "sixty-three million, seven hundred sixty-eight thousand, nine hundred forty".