63077960 has 96 divisors (see below), whose sum is σ = 162449280. Its totient is φ = 21859200.

The previous prime is 63077909. The next prime is 63077969. The reversal of 63077960 is 6977036.

63077960 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 (63077969) 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 23 ways as a sum of consecutive naturals, for example, 232625 + ... + 232895.

It is an arithmetic number, because the mean of its divisors is an integer number (1692180).

Almost surely, 2^63077960 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 63077960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81224640).

63077960 is an abundant number, since it is smaller than the sum of its proper divisors (99371320).

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

63077960 is a wasteful number, since it uses less digits than its factorization.

63077960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 63077960 is about 7942.1634332215. The cubic root of 63077960 is about 398.0697839809.

The spelling of 63077960 in words is "sixty-three million, seventy-seven thousand, nine hundred sixty".