635575668 has 288 divisors, whose sum is σ = 2023830144. Its totient is φ = 153280512.

The previous prime is 635575667. The next prime is 635575673. The reversal of 635575668 is 866575536.

635575668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 635575668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635575667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8706480 + ... + 8706552.

It is an arithmetic number, because the mean of its divisors is an integer number (7027188).

Almost surely, 2^635575668 is an apocalyptic number.

635575668 is a gapful number since it is divisible by the number (68) 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 635575668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011915072).

635575668 is an abundant number, since it is smaller than the sum of its proper divisors (1388254476).

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

635575668 is a wasteful number, since it uses less digits than its factorization.

635575668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 51.

The square root of 635575668 is about 25210.6260929791. The cubic root of 635575668 is about 859.7834626997.

The spelling of 635575668 in words is "six hundred thirty-five million, five hundred seventy-five thousand, six hundred sixty-eight".