830988 has 36 divisors (see below), whose sum is σ = 2155608. Its totient is φ = 269760.

The previous prime is 830981. The next prime is 830989. The reversal of 830988 is 889038.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×830988² = 1381082112288, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830988.

It is not an unprimeable number, because it can be changed into a prime (830981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (59878).

2⁸³⁰⁹⁸⁸ 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 830988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077804).

830988 is an abundant number, since it is smaller than the sum of its proper divisors (1324620).

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

830988 is a wasteful number, since it uses less digits than its factorization.

830988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 830988 is about 911.5854320907. The cubic root of 830988 is about 94.0152382117.

The spelling of 830988 in words is "eight hundred thirty thousand, nine hundred eighty-eight".