633968420 has 96 divisors (see below), whose sum is σ = 1473746400. Its totient is φ = 227999744.

The previous prime is 633968411. The next prime is 633968431. The reversal of 633968420 is 24869336.

It can be written as a sum of positive squares in 16 ways, for example, as 334816804 + 299151616 = 18298^2 + 17296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113896 + ... + 1114464.

It is an arithmetic number, because the mean of its divisors is an integer number (15351525).

Almost surely, 2^633968420 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 633968420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736873200).

633968420 is an abundant number, since it is smaller than the sum of its proper divisors (839777980).

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

633968420 is a wasteful number, since it uses less digits than its factorization.

633968420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 633968420 is about 25178.7295152079. The cubic root of 633968420 is about 859.0581088722.

The spelling of 633968420 in words is "six hundred thirty-three million, nine hundred sixty-eight thousand, four hundred twenty".