633648 has 40 divisors (see below), whose sum is σ = 1680448. Its totient is φ = 205632.

The previous prime is 633629. The next prime is 633649. The reversal of 633648 is 846336.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 633648.

It is not an unprimeable number, because it can be changed into a prime (633649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1911 + ... + 2217.

2⁶³³⁶⁴⁸ 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 633648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840224).

633648 is an abundant number, since it is smaller than the sum of its proper divisors (1046800).

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

633648 is a wasteful number, since it uses less digits than its factorization.

633648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 633648 is about 796.0201002487. The cubic root of 633648 is about 85.8913356243.

The spelling of 633648 in words is "six hundred thirty-three thousand, six hundred forty-eight".