1224840320 has 128 divisors (see below), whose sum is σ = 3362817600. Its totient is φ = 421908480.

The previous prime is 1224840311. The next prime is 1224840329. The reversal of 1224840320 is 230484221.

It is an interprime number because it is at equal distance from previous prime (1224840311) and next prime (1224840329).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1224840320.

It is not an unprimeable number, because it can be changed into a prime (1224840329) 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, 129182 + ... + 138338.

Almost surely, 2^1224840320 is an apocalyptic number.

1224840320 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 1224840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681408800).

1224840320 is an abundant number, since it is smaller than the sum of its proper divisors (2137977280).

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

1224840320 is a wasteful number, since it uses less digits than its factorization.

1224840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 9194 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1224840320 is about 34997.7187828007. The cubic root of 1224840320 is about 1069.9409872249.

The spelling of 1224840320 in words is "one billion, two hundred twenty-four million, eight hundred forty thousand, three hundred twenty".