634099752 has 192 divisors, whose sum is σ = 2093232960. Its totient is φ = 177292800.

The previous prime is 634099751. The next prime is 634099771. The reversal of 634099752 is 257990436.

It is a happy number.

634099752 is a `hidden beast` number, since 634 + 0 + 9 + 9 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 634099698 and 634099707.

It is not an unprimeable number, because it can be changed into a prime (634099751) 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 47 ways as a sum of consecutive naturals, for example, 276852 + ... + 279132.

It is an arithmetic number, because the mean of its divisors is an integer number (10902255).

Almost surely, 2^634099752 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 634099752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046616480).

634099752 is an abundant number, since it is smaller than the sum of its proper divisors (1459133208).

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

634099752 is a wasteful number, since it uses less digits than its factorization.

634099752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 634099752 is about 25181.3373751276. The cubic root of 634099752 is about 859.1174251968.

The spelling of 634099752 in words is "six hundred thirty-four million, ninety-nine thousand, seven hundred fifty-two".