63456960 has 336 divisors, whose sum is σ = 250179840. Its totient is φ = 13547520.

The previous prime is 63456917. The next prime is 63456989. The reversal of 63456960 is 6965436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893725 + ... + 893795.

Almost surely, 2^63456960 is an apocalyptic number.

63456960 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 63456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

63456960 is an abundant number, since it is smaller than the sum of its proper divisors (186722880).

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

63456960 is a wasteful number, since it uses less digits than its factorization.

63456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 63456960 is about 7965.9876977058. The cubic root of 63456960 is about 398.8654517096.

The spelling of 63456960 in words is "sixty-three million, four hundred fifty-six thousand, nine hundred sixty".