634404960 has 576 divisors, whose sum is σ = 2685493440. Its totient is φ = 141087744.

The previous prime is 634404917. The next prime is 634404971. The reversal of 634404960 is 69404436.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17146062 + ... + 17146098.

It is an arithmetic number, because the mean of its divisors is an integer number (4662315).

Almost surely, 2^634404960 is an apocalyptic number.

634404960 is a gapful number since it is divisible by the number (60) 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 634404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342746720).

634404960 is an abundant number, since it is smaller than the sum of its proper divisors (2051088480).

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

634404960 is an equidigital number, since it uses as much as digits as its factorization.

634404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 634404960 is about 25187.3968484240. The cubic root of 634404960 is about 859.2552412908.

The spelling of 634404960 in words is "six hundred thirty-four million, four hundred four thousand, nine hundred sixty".