1820740320 has 144 divisors (see below), whose sum is σ = 7100926560. Its totient is φ = 416166912.

The previous prime is 1820740309. The next prime is 1820740331. The reversal of 1820740320 is 230470281.

It is an interprime number because it is at equal distance from previous prime (1820740309) and next prime (1820740331).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 80235 + ... + 100394.

It is an arithmetic number, because the mean of its divisors is an integer number (49311990).

Almost surely, 2^1820740320 is an apocalyptic number.

1820740320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820740320 is an abundant number, since it is smaller than the sum of its proper divisors (5280186240).

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

1820740320 is a wasteful number, since it uses less digits than its factorization.

1820740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180657 (or 180646 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1820740320 is about 42670.1338174607. The cubic root of 1820740320 is about 1221.0946727760.

The spelling of 1820740320 in words is "one billion, eight hundred twenty million, seven hundred forty thousand, three hundred twenty".