1230224640 has 144 divisors (see below), whose sum is σ = 3949008000. Its totient is φ = 326393856.

The previous prime is 1230224629. The next prime is 1230224641. The reversal of 1230224640 is 464220321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1230224640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230224641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878661 + ... + 880059.

Almost surely, 2^1230224640 is an apocalyptic number.

1230224640 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 1230224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974504000).

1230224640 is an abundant number, since it is smaller than the sum of its proper divisors (2718783360).

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

1230224640 is a wasteful number, since it uses less digits than its factorization.

1230224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1230224640 is about 35074.5583008539. The cubic root of 1230224640 is about 1071.5064929741.

Adding to 1230224640 its reverse (464220321), we get a palindrome (1694444961).

The spelling of 1230224640 in words is "one billion, two hundred thirty million, two hundred twenty-four thousand, six hundred forty".