634271904 has 384 divisors, whose sum is σ = 2322432000. Its totient is φ = 164229120.

The previous prime is 634271899. The next prime is 634271933. The reversal of 634271904 is 409172436.

634271904 is a `hidden beast` number, since 634 + 2 + 7 + 19 + 0 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3187197 + ... + 3187395.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^634271904 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 634271904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000).

634271904 is an abundant number, since it is smaller than the sum of its proper divisors (1688160096).

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

634271904 is a wasteful number, since it uses less digits than its factorization.

634271904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 634271904 is about 25184.7553889253. The cubic root of 634271904 is about 859.1951655419.

The spelling of 634271904 in words is "six hundred thirty-four million, two hundred seventy-one thousand, nine hundred four".