830123264 has 36 divisors (see below), whose sum is σ = 1663734240. Its totient is φ = 413376000.

The previous prime is 830123257. The next prime is 830123293. The reversal of 830123264 is 462321038.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 57797 + ... + 70715.

It is an arithmetic number, because the mean of its divisors is an integer number (46214840).

Almost surely, 2^830123264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831867120).

830123264 is an abundant number, since it is smaller than the sum of its proper divisors (833610976).

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

830123264 is a wasteful number, since it uses less digits than its factorization.

830123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 830123264 is about 28811.8597803057. The cubic root of 830123264 is about 939.8261576813.

The spelling of 830123264 in words is "eight hundred thirty million, one hundred twenty-three thousand, two hundred sixty-four".