830993184 has 144 divisors (see below), whose sum is σ = 2859712128. Its totient is φ = 223451136.

The previous prime is 830993153. The next prime is 830993203. The reversal of 830993184 is 481399038.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22149 + ... + 46395.

It is an arithmetic number, because the mean of its divisors is an integer number (19859112).

Almost surely, 2^830993184 is an apocalyptic number.

830993184 is a gapful number since it is divisible by the number (84) 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 830993184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429856064).

830993184 is an abundant number, since it is smaller than the sum of its proper divisors (2028718944).

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

830993184 is a wasteful number, since it uses less digits than its factorization.

830993184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24287 (or 24276 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 830993184 is about 28826.9523883466. The cubic root of 830993184 is about 940.1543371149.

The spelling of 830993184 in words is "eight hundred thirty million, nine hundred ninety-three thousand, one hundred eighty-four".