63958560 has 96 divisors (see below), whose sum is σ = 212103360. Its totient is φ = 16155648.

The previous prime is 63958529. The next prime is 63958589. The reversal of 63958560 is 6585936.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5614 + ... + 12626.

It is an arithmetic number, because the mean of its divisors is an integer number (2209410).

Almost surely, 2^63958560 is an apocalyptic number.

63958560 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 63958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106051680).

63958560 is an abundant number, since it is smaller than the sum of its proper divisors (148144800).

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

63958560 is a wasteful number, since it uses less digits than its factorization.

63958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 63958560 is about 7997.4095806080. The cubic root of 63958560 is about 399.9136480263.

The spelling of 63958560 in words is "sixty-three million, nine hundred fifty-eight thousand, five hundred sixty".