63408960 has 224 divisors, whose sum is σ = 230428800. Its totient is φ = 16404480.

The previous prime is 63408937. The next prime is 63408973. The reversal of 63408960 is 6980436.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354151 + ... + 354329.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^63408960 is an apocalyptic number.

63408960 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 63408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

63408960 is an abundant number, since it is smaller than the sum of its proper divisors (167019840).

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

63408960 is a wasteful number, since it uses less digits than its factorization.

63408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 63408960 is about 7962.9743186827. The cubic root of 63408960 is about 398.7648566445.

The spelling of 63408960 in words is "sixty-three million, four hundred eight thousand, nine hundred sixty".