830935260 has 240 divisors, whose sum is σ = 2817460800. Its totient is φ = 204374016.

The previous prime is 830935247. The next prime is 830935267. The reversal of 830935260 is 62539038.

It is a super-2 number, since 2×830935260² = 1380906812622535200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830935267) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1080156 + ... + 1080924.

It is an arithmetic number, because the mean of its divisors is an integer number (11739420).

Almost surely, 2^830935260 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 830935260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408730400).

830935260 is an abundant number, since it is smaller than the sum of its proper divisors (1986525540).

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

830935260 is a wasteful number, since it uses less digits than its factorization.

830935260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 830935260 is about 28825.9476860692. The cubic root of 830935260 is about 940.1324922645.

The spelling of 830935260 in words is "eight hundred thirty million, nine hundred thirty-five thousand, two hundred sixty".