63681120 has 96 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 16980480.

The previous prime is 63681109. The next prime is 63681131. The reversal of 63681120 is 2118636.

63681120 is a `hidden beast` number, since 636 + 8 + 1 + 1 + 20 = 666.

63681120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63681109) and next prime (63681131).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3051 + ... + 11690.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^63681120 is an apocalyptic number.

63681120 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 63681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

63681120 is an abundant number, since it is smaller than the sum of its proper divisors (159217920).

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

63681120 is a wasteful number, since it uses less digits than its factorization.

63681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 63681120 is about 7980.0451126544. The cubic root of 63681120 is about 399.3345602554.

Adding to 63681120 its reverse (2118636), we get a palindrome (65799756).

The spelling of 63681120 in words is "sixty-three million, six hundred eighty-one thousand, one hundred twenty".