63144960 has 88 divisors (see below), whose sum is σ = 202014336. Its totient is φ = 16834560.

The previous prime is 63144947. The next prime is 63144967. The reversal of 63144960 is 6944136.

It is not an unprimeable number, because it can be changed into a prime (63144967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13305 + ... + 17415.

Almost surely, 2^63144960 is an apocalyptic number.

63144960 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 63144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101007168).

63144960 is an abundant number, since it is smaller than the sum of its proper divisors (138869376).

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

63144960 is a wasteful number, since it uses less digits than its factorization.

63144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 63144960 is about 7946.3803080396. The cubic root of 63144960 is about 398.2106743864.

The spelling of 63144960 in words is "sixty-three million, one hundred forty-four thousand, nine hundred sixty".