634461984 has 240 divisors, whose sum is σ = 2117364480. Its totient is φ = 184757760.

The previous prime is 634461979. The next prime is 634461991. The reversal of 634461984 is 489164436.

634461984 is a `hidden beast` number, since 634 + 4 + 6 + 1 + 9 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 639729 + ... + 640719.

It is an arithmetic number, because the mean of its divisors is an integer number (8822352).

Almost surely, 2^634461984 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 634461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058682240).

634461984 is an abundant number, since it is smaller than the sum of its proper divisors (1482902496).

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

634461984 is a wasteful number, since it uses less digits than its factorization.

634461984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1028 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 634461984 is about 25188.5288176979. The cubic root of 634461984 is about 859.2809854689.

The spelling of 634461984 in words is "six hundred thirty-four million, four hundred sixty-one thousand, nine hundred eighty-four".