63481140 has 72 divisors (see below), whose sum is σ = 194325768. Its totient is φ = 16773120.

The previous prime is 63481133. The next prime is 63481141. The reversal of 63481140 is 4118436.

It can be written as a sum of positive squares in 4 ways, for example, as 8928144 + 54552996 = 2988^2 + 7386^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63481141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18780 + ... + 21900.

It is an arithmetic number, because the mean of its divisors is an integer number (2698969).

Almost surely, 2^63481140 is an apocalyptic number.

63481140 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 63481140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97162884).

63481140 is an abundant number, since it is smaller than the sum of its proper divisors (130844628).

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

63481140 is a wasteful number, since it uses less digits than its factorization.

63481140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 63481140 is about 7967.5052557247. The cubic root of 63481140 is about 398.9161072609.

Adding to 63481140 its reverse (4118436), we get a palindrome (67599576).

The spelling of 63481140 in words is "sixty-three million, four hundred eighty-one thousand, one hundred forty".