830368 has 48 divisors (see below), whose sum is σ = 2044224. Its totient is φ = 322560.

The previous prime is 830363. The next prime is 830383. The reversal of 830368 is 863038.

It is a super-2 number, since 2×830368² = 1379022030848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2296 + ... + 2632.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁸³⁰³⁶⁸ is an apocalyptic number.

830368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022112).

830368 is an abundant number, since it is smaller than the sum of its proper divisors (1213856).

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

830368 is a wasteful number, since it uses less digits than its factorization.

830368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 830368 is about 911.2453017712. The cubic root of 830368 is about 93.9918508101.

The spelling of 830368 in words is "eight hundred thirty thousand, three hundred sixty-eight".