634967424 has 320 divisors, whose sum is σ = 2329182240. Its totient is φ = 167215104.

The previous prime is 634967407. The next prime is 634967497. The reversal of 634967424 is 424769436.

It is a happy number.

634967424 is a `hidden beast` number, since 634 + 9 + 6 + 7 + 4 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 634967424.

It is a congruent number.

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, 943152 + ... + 943824.

Almost surely, 2^634967424 is an apocalyptic number.

634967424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164591120).

634967424 is an abundant number, since it is smaller than the sum of its proper divisors (1694214816).

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

634967424 is a wasteful number, since it uses less digits than its factorization.

634967424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 634967424 is about 25198.5599588548. The cubic root of 634967424 is about 859.5091050999.

The spelling of 634967424 in words is "six hundred thirty-four million, nine hundred sixty-seven thousand, four hundred twenty-four".