63948960 has 192 divisors, whose sum is σ = 227525760. Its totient is φ = 16773120.

The previous prime is 63948959. The next prime is 63948967. The reversal of 63948960 is 6984936.

63948960 is a `hidden beast` number, since 639 + 4 + 8 + 9 + 6 + 0 = 666.

63948960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (63948967) 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 31 ways as a sum of consecutive naturals, for example, 488095 + ... + 488225.

It is an arithmetic number, because the mean of its divisors is an integer number (1185030).

Almost surely, 2^63948960 is an apocalyptic number.

63948960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

63948960 is an abundant number, since it is smaller than the sum of its proper divisors (163576800).

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

63948960 is a wasteful number, since it uses less digits than its factorization.

63948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 63948960 is about 7996.8093637400. The cubic root of 63948960 is about 399.8936383872.

The spelling of 63948960 in words is "sixty-three million, nine hundred forty-eight thousand, nine hundred sixty".