63283968 has 162 divisors, whose sum is σ = 201442332. Its totient is φ = 19092480.

The previous prime is 63283967. The next prime is 63283981. The reversal of 63283968 is 86938236.

63283968 is a `hidden beast` number, since 632 + 8 + 3 + 9 + 6 + 8 = 666.

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

Its product of digits (373248) is a multiple of the sum of its prime divisors (243).

It is not an unprimeable number, because it can be changed into a prime (63283967) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278671 + ... + 278897.

Almost surely, 2^63283968 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 63283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100721166).

63283968 is an abundant number, since it is smaller than the sum of its proper divisors (138158364).

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

63283968 is a wasteful number, since it uses less digits than its factorization.

63283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 243 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 63283968 is about 7955.1221235126. The cubic root of 63283968 is about 398.5026686576.

It can be divided in two parts, 6328 and 3968, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 63283968 in words is "sixty-three million, two hundred eighty-three thousand, nine hundred sixty-eight".