635948656 has 120 divisors (see below), whose sum is σ = 1505059920. Its totient is φ = 259209216.

The previous prime is 635948653. The next prime is 635948659. The reversal of 635948656 is 656849536.

It is an interprime number because it is at equal distance from previous prime (635948653) and next prime (635948659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635948653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1886920 + ... + 1887256.

It is an arithmetic number, because the mean of its divisors is an integer number (12542166).

Almost surely, 2^635948656 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 635948656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752529960).

635948656 is an abundant number, since it is smaller than the sum of its proper divisors (869111264).

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

635948656 is a wasteful number, since it uses less digits than its factorization.

635948656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 52.

The square root of 635948656 is about 25218.0224442758. The cubic root of 635948656 is about 859.9516179740.

The spelling of 635948656 in words is "six hundred thirty-five million, nine hundred forty-eight thousand, six hundred fifty-six".