633040 has 40 divisors (see below), whose sum is σ = 1515528. Its totient is φ = 245760.

The previous prime is 633037. The next prime is 633053. The reversal of 633040 is 40336.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 627264 = 76^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3184 + ... + 3376.

2⁶³³⁰⁴⁰ 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 633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757764).

633040 is an abundant number, since it is smaller than the sum of its proper divisors (882488).

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

633040 is a wasteful number, since it uses less digits than its factorization.

633040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 633040 is about 795.6381086901. The cubic root of 633040 is about 85.8638552548.

Adding to 633040 its reverse (40336), we get a palindrome (673376).

Subtracting from 633040 its reverse (40336), we obtain a cube (592704 = 84³).

The spelling of 633040 in words is "six hundred thirty-three thousand, forty".