831840 has 48 divisors (see below), whose sum is σ = 2621808. Its totient is φ = 221696.

The previous prime is 831829. The next prime is 831847. The reversal of 831840 is 48138.

831840 = 81² + 82² + ... + 144².

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 831840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831847) 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, 387 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (54621).

2⁸³¹⁸⁴⁰ is an apocalyptic number.

831840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

831840 is an abundant number, since it is smaller than the sum of its proper divisors (1789968).

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

831840 is a wasteful number, since it uses less digits than its factorization.

831840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 831840 is about 912.0526300603. The cubic root of 831840 is about 94.0473580590.

Adding to 831840 its reverse (48138), we get a palindrome (879978).

The spelling of 831840 in words is "eight hundred thirty-one thousand, eight hundred forty".