634725600 has 288 divisors, whose sum is σ = 2240856576. Its totient is φ = 155443200.

The previous prime is 634725541. The next prime is 634725629. The reversal of 634725600 is 6527436.

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 47 ways as a sum of consecutive naturals, for example, 1917435 + ... + 1917765.

It is an arithmetic number, because the mean of its divisors is an integer number (7780752).

Almost surely, 2^634725600 is an apocalyptic number.

634725600 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 634725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120428288).

634725600 is an abundant number, since it is smaller than the sum of its proper divisors (1606130976).

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

634725600 is a wasteful number, since it uses less digits than its factorization.

634725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 634725600 is about 25193.7611324709. The cubic root of 634725600 is about 859.3999780729.

The spelling of 634725600 in words is "six hundred thirty-four million, seven hundred twenty-five thousand, six hundred".