1238830720 has 128 divisors (see below), whose sum is σ = 3040416000. Its totient is φ = 482549760.

The previous prime is 1238830717. The next prime is 1238830739. The reversal of 1238830720 is 270388321.

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

It is an unprimeable number.

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, 6225181 + ... + 6225379.

It is an arithmetic number, because the mean of its divisors is an integer number (23753250).

Almost surely, 2^1238830720 is an apocalyptic number.

1238830720 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 1238830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520208000).

1238830720 is an abundant number, since it is smaller than the sum of its proper divisors (1801585280).

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

1238830720 is a wasteful number, since it uses less digits than its factorization.

1238830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 1238830720 is about 35197.0271471896. The cubic root of 1238830720 is about 1073.9992763896. Note that the first 3 decimals are identical.

The spelling of 1238830720 in words is "one billion, two hundred thirty-eight million, eight hundred thirty thousand, seven hundred twenty".