1233630640 has 80 divisors (see below), whose sum is σ = 3149218080. Its totient is φ = 445685760.

The previous prime is 1233630637. The next prime is 1233630641. The reversal of 1233630640 is 460363321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1233630599 and 1233630608.

It is not an unprimeable number, because it can be changed into a prime (1233630641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133696 + ... + 142624.

It is an arithmetic number, because the mean of its divisors is an integer number (39365226).

Almost surely, 2^1233630640 is an apocalyptic number.

1233630640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574609040).

1233630640 is an abundant number, since it is smaller than the sum of its proper divisors (1915587440).

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

1233630640 is a wasteful number, since it uses less digits than its factorization.

1233630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9104 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 1233630640 is about 35123.0784527780. The cubic root of 1233630640 is about 1072.4944394348.

Adding to 1233630640 its reverse (460363321), we get a palindrome (1693993961).

The spelling of 1233630640 in words is "one billion, two hundred thirty-three million, six hundred thirty thousand, six hundred forty".