63416080 has 160 divisors (see below), whose sum is σ = 187987968. Its totient is φ = 19353600.

The previous prime is 63416077. The next prime is 63416081. The reversal of 63416080 is 8061436.

63416080 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 (28).

It is not an unprimeable number, because it can be changed into a prime (63416081) 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, 225540 + ... + 225820.

Almost surely, 2^63416080 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 63416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93993984).

63416080 is an abundant number, since it is smaller than the sum of its proper divisors (124571888).

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

63416080 is a wasteful number, since it uses less digits than its factorization.

63416080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 63416080 is about 7963.4213752633. The cubic root of 63416080 is about 398.7797814518.

It can be divided in two parts, 6341 and 6080, that added together give a palindrome (12421).

The spelling of 63416080 in words is "sixty-three million, four hundred sixteen thousand, eighty".