1834160160 has 144 divisors (see below), whose sum is σ = 6720973056. Its totient is φ = 419231232.

The previous prime is 1834160137. The next prime is 1834160177. The reversal of 1834160160 is 610614381.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 15472 + ... + 62511.

It is an arithmetic number, because the mean of its divisors is an integer number (46673424).

Almost surely, 2^1834160160 is an apocalyptic number.

1834160160 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 1834160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360486528).

1834160160 is an abundant number, since it is smaller than the sum of its proper divisors (4886812896).

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

1834160160 is a wasteful number, since it uses less digits than its factorization.

1834160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78015 (or 78000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1834160160 is about 42827.0960958130. The cubic root of 1834160160 is about 1224.0873746845.

The spelling of 1834160160 in words is "one billion, eight hundred thirty-four million, one hundred sixty thousand, one hundred sixty".