63834642 has 96 divisors (see below), whose sum is σ = 156549120. Its totient is φ = 19420560.

The previous prime is 63834619. The next prime is 63834647. The reversal of 63834642 is 24643836.

It is a happy number.

63834642 is a `hidden beast` number, since 6 + 3 + 8 + 3 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63834597 and 63834606.

It is not an unprimeable number, because it can be changed into a prime (63834647) 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 47 ways as a sum of consecutive naturals, for example, 286143 + ... + 286365.

It is an arithmetic number, because the mean of its divisors is an integer number (1630720).

Almost surely, 2^63834642 is an apocalyptic number.

63834642 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63834642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78274560).

63834642 is an abundant number, since it is smaller than the sum of its proper divisors (92714478).

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

63834642 is a wasteful number, since it uses less digits than its factorization.

63834642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 63834642 is about 7989.6584407595. The cubic root of 63834642 is about 399.6552070466.

It can be divided in two parts, 6383 and 4642, that added together give a square (11025 = 105²).

The spelling of 63834642 in words is "sixty-three million, eight hundred thirty-four thousand, six hundred forty-two".