63930880 has 160 divisors (see below), whose sum is σ = 176332464. Its totient is φ = 22020096.

The previous prime is 63930859. The next prime is 63930883. The reversal of 63930880 is 8803936.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7139584 + 56791296 = 2672^2 + 7536^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (63930883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565704 + ... + 565816.

Almost surely, 2^63930880 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 63930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88166232).

63930880 is an abundant number, since it is smaller than the sum of its proper divisors (112401584).

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

63930880 is a wasteful number, since it uses less digits than its factorization.

63930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 63930880 is about 7995.6788329697. The cubic root of 63930880 is about 399.8559481289.

The spelling of 63930880 in words is "sixty-three million, nine hundred thirty thousand, eight hundred eighty".