833040 has 120 divisors (see below), whose sum is σ = 3046680. Its totient is φ = 202752.

The previous prime is 833033. The next prime is 833047. The reversal of 833040 is 40338.

It is an interprime number because it is at equal distance from previous prime (833033) and next prime (833047).

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 831744 = 36^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (833047) by changing a digit.

833040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9316 + ... + 9404.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2⁸³³⁰⁴⁰ is an apocalyptic number.

833040 is a gapful number since it is divisible by the number (80) 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 833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340).

833040 is an abundant number, since it is smaller than the sum of its proper divisors (2213640).

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

833040 is a wasteful number, since it uses less digits than its factorization.

833040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 833040 is about 912.7102497507. The cubic root of 833040 is about 94.0925601029.

Adding to 833040 its reverse (40338), we get a palindrome (873378).

The spelling of 833040 in words is "eight hundred thirty-three thousand, forty".