1820300832 has 144 divisors (see below), whose sum is σ = 5943974400. Its totient is φ = 517625856.

The previous prime is 1820300831. The next prime is 1820300837. The reversal of 1820300832 is 2380030281.

1820300832 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1820300796 and 1820300805.

It is not an unprimeable number, because it can be changed into a prime (1820300831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447544 + ... + 451592.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^1820300832 is an apocalyptic number.

1820300832 is a gapful number since it is divisible by the number (12) 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 1820300832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971987200).

1820300832 is an abundant number, since it is smaller than the sum of its proper divisors (4123673568).

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

1820300832 is a wasteful number, since it uses less digits than its factorization.

1820300832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1820300832 is about 42664.9836751404. The cubic root of 1820300832 is about 1220.9964161063.

The spelling of 1820300832 in words is "one billion, eight hundred twenty million, three hundred thousand, eight hundred thirty-two".