634009824 has 108 divisors (see below), whose sum is σ = 2097373824. Its totient is φ = 181141632.

The previous prime is 634009801. The next prime is 634009847. The reversal of 634009824 is 428900436.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (634009801) and next prime (634009847).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 8352 + ... + 36575.

It is an arithmetic number, because the mean of its divisors is an integer number (19420128).

Almost surely, 2^634009824 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 634009824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048686912).

634009824 is an abundant number, since it is smaller than the sum of its proper divisors (1463364000).

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

634009824 is a wasteful number, since it uses less digits than its factorization.

634009824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44957 (or 44939 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 634009824 is about 25179.5517037139. The cubic root of 634009824 is about 859.0768099444.

The spelling of 634009824 in words is "six hundred thirty-four million, nine thousand, eight hundred twenty-four".