633940 has 24 divisors (see below), whose sum is σ = 1378440. Its totient is φ = 244608.

The previous prime is 633937. The next prime is 633943. The reversal of 633940 is 49336.

It is an interprime number because it is at equal distance from previous prime (633937) and next prime (633943).

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 391876 = 492^2 + 626^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633943) 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, 34 + ... + 1126.

It is an arithmetic number, because the mean of its divisors is an integer number (57435).

2⁶³³⁹⁴⁰ 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 633940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689220).

633940 is an abundant number, since it is smaller than the sum of its proper divisors (744500).

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

633940 is a wasteful number, since it uses less digits than its factorization.

633940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 633940 is about 796.2034915774. The cubic root of 633940 is about 85.9045271852.

The spelling of 633940 in words is "six hundred thirty-three thousand, nine hundred forty".