830585340 has 120 divisors (see below), whose sum is σ = 2806077120. Its totient is φ = 204446592.

The previous prime is 830585321. The next prime is 830585347. The reversal of 830585340 is 43585038.

830585340 is a `hidden beast` number, since 8 + 30 + 585 + 3 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 830585295 and 830585304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830585347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1341 + ... + 40779.

It is an arithmetic number, because the mean of its divisors is an integer number (23383976).

Almost surely, 2^830585340 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 830585340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403038560).

830585340 is an abundant number, since it is smaller than the sum of its proper divisors (1975491780).

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

830585340 is a wasteful number, since it uses less digits than its factorization.

830585340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39473 (or 39462 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 830585340 is about 28819.8775153539. The cubic root of 830585340 is about 940.0005055075. Note that the first 3 decimals are identical.

The spelling of 830585340 in words is "eight hundred thirty million, five hundred eighty-five thousand, three hundred forty".