634765625 has 24 divisors (see below), whose sum is σ = 854492184. Its totient is φ = 468750000.

The previous prime is 634765591. The next prime is 634765633. The reversal of 634765625 is 526567436.

It is a happy number.

634765625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 435306496 + 199459129 = 20864^2 + 14123^2 .

It is not a de Polignac number, because 634765625 - 2⁶ = 634765561 is a prime.

Its product of digits (907200) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48828119 + ... + 48828131.

It is an arithmetic number, because the mean of its divisors is an integer number (35603841).

Almost surely, 2^634765625 is an apocalyptic number.

634765625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

634765625 is a deficient number, since it is larger than the sum of its proper divisors (219726559).

634765625 is an frugal number, since it uses more digits than its factorization.

634765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

The product of its digits is 907200, while the sum is 44.

The square root of 634765625 is about 25194.5554634330. Note that the first 3 decimals coincide. The cubic root of 634765625 is about 859.4180419213.

The spelling of 634765625 in words is "six hundred thirty-four million, seven hundred sixty-five thousand, six hundred twenty-five".