63286938 has 96 divisors (see below), whose sum is σ = 168255360. Its totient is φ = 16917120.

The previous prime is 63286933. The next prime is 63286943. The reversal of 63286938 is 83968236.

63286938 is a `hidden beast` number, since 632 + 8 + 6 + 9 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (63286933) and next prime (63286943).

It is a junction number, because it is equal to n+sod(n) for n = 63286893 and 63286902.

It is not an unprimeable number, because it can be changed into a prime (63286931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58668 + ... + 59736.

It is an arithmetic number, because the mean of its divisors is an integer number (1752660).

Almost surely, 2^63286938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63286938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84127680).

63286938 is an abundant number, since it is smaller than the sum of its proper divisors (104968422).

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

63286938 is a wasteful number, since it uses less digits than its factorization.

63286938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1121 counting only the distinct ones).

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

The square root of 63286938 is about 7955.3087935039. The cubic root of 63286938 is about 398.5089026452.

The spelling of 63286938 in words is "sixty-three million, two hundred eighty-six thousand, nine hundred thirty-eight".