916830 has 48 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 239040.

The previous prime is 916787. The next prime is 916831. The reversal of 916830 is 38619.

It is a junction number, because it is equal to n+sod(n) for n = 916794 and 916803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5407 + ... + 5573.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2⁹¹⁶⁸³⁰ is an apocalyptic number.

916830 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 916830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

916830 is an abundant number, since it is smaller than the sum of its proper divisors (1520514).

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

916830 is a wasteful number, since it uses less digits than its factorization.

916830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 916830 is about 957.5124020085. The cubic root of 916830 is about 97.1470473147.

The spelling of 916830 in words is "nine hundred sixteen thousand, eight hundred thirty".