1820238680 has 128 divisors (see below), whose sum is σ = 4584988800. Its totient is φ = 645967872.

The previous prime is 1820238619. The next prime is 1820238751. The reversal of 1820238680 is 868320281.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1711829 + ... + 1712891.

It is an arithmetic number, because the mean of its divisors is an integer number (35820225).

Almost surely, 2^1820238680 is an apocalyptic number.

1820238680 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 1820238680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292494400).

1820238680 is an abundant number, since it is smaller than the sum of its proper divisors (2764750120).

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

1820238680 is a wasteful number, since it uses less digits than its factorization.

1820238680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 1820238680 is about 42664.2552964422. The cubic root of 1820238680 is about 1220.9825194595.

The spelling of 1820238680 in words is "one billion, eight hundred twenty million, two hundred thirty-eight thousand, six hundred eighty".