63181248 has 112 divisors (see below), whose sum is σ = 190743840. Its totient is φ = 18284544.

The previous prime is 63181229. The next prime is 63181273. The reversal of 63181248 is 84218136.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 41688 + ... + 43176.

It is an arithmetic number, because the mean of its divisors is an integer number (1703070).

Almost surely, 2^63181248 is an apocalyptic number.

63181248 is a gapful number since it is divisible by the number (68) 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 63181248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95371920).

63181248 is an abundant number, since it is smaller than the sum of its proper divisors (127562592).

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

63181248 is a wasteful number, since it uses less digits than its factorization.

63181248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1524 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 63181248 is about 7948.6632838484. The cubic root of 63181248 is about 398.2869407095.

It can be divided in two parts, 6318 and 1248, that multiplied together give a square (7884864 = 2808²).

The spelling of 63181248 in words is "sixty-three million, one hundred eighty-one thousand, two hundred forty-eight".