1830880160 has 96 divisors (see below), whose sum is σ = 4385332224. Its totient is φ = 722304000.

The previous prime is 1830880157. The next prime is 1830880189. The reversal of 1830880160 is 610880381.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1830880160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5531195 + ... + 5531525.

It is an arithmetic number, because the mean of its divisors is an integer number (45680544).

Almost surely, 2^1830880160 is an apocalyptic number.

1830880160 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 1830880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192666112).

1830880160 is an abundant number, since it is smaller than the sum of its proper divisors (2554452064).

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

1830880160 is a wasteful number, since it uses less digits than its factorization.

1830880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1830880160 is about 42788.7854466565. The cubic root of 1830880160 is about 1223.3572671796.

The spelling of 1830880160 in words is "one billion, eight hundred thirty million, eight hundred eighty thousand, one hundred sixty".