63600480 has 144 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 16364544.

The previous prime is 63600473. The next prime is 63600527. The reversal of 63600480 is 8400636.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40999 + ... + 42521.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 2^63600480 is an apocalyptic number.

63600480 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 63600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

63600480 is an abundant number, since it is smaller than the sum of its proper divisors (161067600).

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

63600480 is a wasteful number, since it uses less digits than its factorization.

63600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 63600480 is about 7974.9909090857. The cubic root of 63600480 is about 399.1659286881.

The spelling of 63600480 in words is "sixty-three million, six hundred thousand, four hundred eighty".