1834082160 has 120 divisors (see below), whose sum is σ = 6000932880. Its totient is φ = 463325184.

The previous prime is 1834082147. The next prime is 1834082161. The reversal of 1834082160 is 612804381.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834082161) 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, 76056 + ... + 97224.

It is an arithmetic number, because the mean of its divisors is an integer number (50007774).

Almost surely, 2^1834082160 is an apocalyptic number.

1834082160 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 1834082160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000466440).

1834082160 is an abundant number, since it is smaller than the sum of its proper divisors (4166850720).

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

1834082160 is a wasteful number, since it uses less digits than its factorization.

1834082160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21223 (or 21198 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1834082160 is about 42826.1854476908. The cubic root of 1834082160 is about 1224.0700224796.

The spelling of 1834082160 in words is "one billion, eight hundred thirty-four million, eighty-two thousand, one hundred sixty".