634635904 has 64 divisors (see below), whose sum is σ = 1451419200. Its totient is φ = 270766080.

The previous prime is 634635901. The next prime is 634635943. The reversal of 634635904 is 409536436.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (634635901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 214467 + ... + 217405.

It is an arithmetic number, because the mean of its divisors is an integer number (22678425).

Almost surely, 2^634635904 is an apocalyptic number.

634635904 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 634635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725709600).

634635904 is an abundant number, since it is smaller than the sum of its proper divisors (816783296).

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

634635904 is a wasteful number, since it uses less digits than its factorization.

634635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The square root of 634635904 is about 25191.9809463250. The cubic root of 634635904 is about 859.3594942419.

The spelling of 634635904 in words is "six hundred thirty-four million, six hundred thirty-five thousand, nine hundred four".