830940 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 201280.

The previous prime is 830939. The next prime is 830957. The reversal of 830940 is 49038.

It is a super-2 number, since 2×830940² = 1380922567200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 830940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁸³⁰⁹⁴⁰ 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 830940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

830940 is an abundant number, since it is smaller than the sum of its proper divisors (1709220).

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

830940 is a wasteful number, since it uses less digits than its factorization.

830940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 830940 is about 911.5591039532. The cubic root of 830940 is about 94.0134279897.

Adding to 830940 its reverse (49038), we get a palindrome (879978).

It can be divided in two parts, 830 and 940, that added together give a triangular number (1770 = T₅₉).

The spelling of 830940 in words is "eight hundred thirty thousand, nine hundred forty".