633085952 has 56 divisors (see below), whose sum is σ = 1279512300. Its totient is φ = 313196544.

The previous prime is 633085939. The next prime is 633085997. The reversal of 633085952 is 259580336.

It can be written as a sum of positive squares in 2 ways, for example, as 626200576 + 6885376 = 25024^2 + 2624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 892574 + ... + 893282.

Almost surely, 2^633085952 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 633085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639756150).

633085952 is an abundant number, since it is smaller than the sum of its proper divisors (646426348).

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

633085952 is an equidigital number, since it uses as much as digits as its factorization.

633085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 633085952 is about 25161.1993354848. The cubic root of 633085952 is about 858.6593280668.

The spelling of 633085952 in words is "six hundred thirty-three million, eighty-five thousand, nine hundred fifty-two".