63684738 has 64 divisors (see below), whose sum is σ = 154385280. Its totient is φ = 19341504.

The previous prime is 63684727. The next prime is 63684739. The reversal of 63684738 is 83748636.

63684738 is a `hidden beast` number, since 636 + 8 + 4 + 7 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63684693 and 63684702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63684739) 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 31 ways as a sum of consecutive naturals, for example, 57720 + ... + 58812.

It is an arithmetic number, because the mean of its divisors is an integer number (2412270).

Almost surely, 2^63684738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63684738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77192640).

63684738 is an abundant number, since it is smaller than the sum of its proper divisors (90700542).

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

63684738 is a wasteful number, since it uses less digits than its factorization.

63684738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 63684738 is about 7980.2717998825. The cubic root of 63684738 is about 399.3421227537.

The spelling of 63684738 in words is "sixty-three million, six hundred eighty-four thousand, seven hundred thirty-eight".