1830000960 has 336 divisors, whose sum is σ = 6761439360. Its totient is φ = 452874240.

The previous prime is 1830000917. The next prime is 1830000961. The reversal of 1830000960 is 690000381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830000961) 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 47 ways as a sum of consecutive naturals, for example, 2899845 + ... + 2900475.

Almost surely, 2^1830000960 is an apocalyptic number.

1830000960 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 1830000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380719680).

1830000960 is an abundant number, since it is smaller than the sum of its proper divisors (4931438400).

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

1830000960 is a wasteful number, since it uses less digits than its factorization.

1830000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1830000960 is about 42778.5104930034. The cubic root of 1830000960 is about 1223.1614145792.

The spelling of 1830000960 in words is "one billion, eight hundred thirty million, nine hundred sixty", and thus it is an aban number.