635316066 has 108 divisors (see below), whose sum is σ = 1760353686. Its totient is φ = 164989440.

The previous prime is 635316001. The next prime is 635316089. The reversal of 635316066 is 660613536.

It is a happy number.

635316066 is a `hidden beast` number, since 6 + 3 + 531 + 60 + 66 = 666.

It can be written as a sum of positive squares in only one way, i.e., 633982041 + 1334025 = 25179^2 + 1155^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 635316066.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 103746 + ... + 109698.

Almost surely, 2^635316066 is an apocalyptic number.

635316066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 635316066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880176843).

635316066 is an abundant number, since it is smaller than the sum of its proper divisors (1125037620).

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

635316066 is a wasteful number, since it uses less digits than its factorization.

635316066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 635316066 is about 25205.4769048316. The cubic root of 635316066 is about 859.6663867355. Note that the first 3 decimals are identical.

The spelling of 635316066 in words is "six hundred thirty-five million, three hundred sixteen thousand, sixty-six".