63981120 has 112 divisors (see below), whose sum is σ = 232184448. Its totient is φ = 14622720.

The previous prime is 63981107. The next prime is 63981133. The reversal of 63981120 is 2118936.

It is an interprime number because it is at equal distance from previous prime (63981107) and next prime (63981133).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1960 + ... + 11480.

Almost surely, 2^63981120 is an apocalyptic number.

63981120 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 63981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116092224).

63981120 is an abundant number, since it is smaller than the sum of its proper divisors (168203328).

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

63981120 is a wasteful number, since it uses less digits than its factorization.

63981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 63981120 is about 7998.8199129622. The cubic root of 63981120 is about 399.9606627983.

The spelling of 63981120 in words is "sixty-three million, nine hundred eighty-one thousand, one hundred twenty".