63890960 has 80 divisors (see below), whose sum is σ = 170798592. Its totient is φ = 21772800.

The previous prime is 63890951. The next prime is 63890963. The reversal of 63890960 is 6909836.

63890960 = 98² + 99² + ... + 577².

63890960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (63890963) 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, 151550 + ... + 151970.

Almost surely, 2^63890960 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 63890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85399296).

63890960 is an abundant number, since it is smaller than the sum of its proper divisors (106907632).

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

63890960 is a wasteful number, since it uses less digits than its factorization.

63890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 63890960 is about 7993.1820947605. The cubic root of 63890960 is about 399.7727041993.

The spelling of 63890960 in words is "sixty-three million, eight hundred ninety thousand, nine hundred sixty".