63319680 has 96 divisors (see below), whose sum is σ = 218670660. Its totient is φ = 16883712.

The previous prime is 63319661. The next prime is 63319687. The reversal of 63319680 is 8691336.

It is a happy number.

63319680 is a `hidden beast` number, since 633 + 19 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 3968064 = 7704^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63319687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264 + ... + 11256.

Almost surely, 2^63319680 is an apocalyptic number.

63319680 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 63319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109335330).

63319680 is an abundant number, since it is smaller than the sum of its proper divisors (155350980).

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

63319680 is a wasteful number, since it uses less digits than its factorization.

63319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 63319680 is about 7957.3663985015. The cubic root of 63319680 is about 398.5776147122.

The spelling of 63319680 in words is "sixty-three million, three hundred nineteen thousand, six hundred eighty".