63781120 has 72 divisors (see below), whose sum is σ = 164570616. Its totient is φ = 23543808.

The previous prime is 63781111. The next prime is 63781129. The reversal of 63781120 is 2118736.

It is an interprime number because it is at equal distance from previous prime (63781111) and next prime (63781129).

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 63744256 = 192^2 + 7984^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (63781129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14724 + ... + 18556.

It is an arithmetic number, because the mean of its divisors is an integer number (2285703).

Almost surely, 2^63781120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82285308).

63781120 is an abundant number, since it is smaller than the sum of its proper divisors (100789496).

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

63781120 is a wasteful number, since it uses less digits than its factorization.

63781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 63781120 is about 7986.3082835563. The cubic root of 63781120 is about 399.5434791700.

Adding to 63781120 its reverse (2118736), we get a palindrome (65899856).

The spelling of 63781120 in words is "sixty-three million, seven hundred eighty-one thousand, one hundred twenty".