831606240 has 144 divisors (see below), whose sum is σ = 2684758608. Its totient is φ = 216373248.

The previous prime is 831606227. The next prime is 831606271. The reversal of 831606240 is 42606138.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 831606198 and 831606207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887052 + ... + 887988.

It is an arithmetic number, because the mean of its divisors is an integer number (18644157).

Almost surely, 2^831606240 is an apocalyptic number.

831606240 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 831606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342379304).

831606240 is an abundant number, since it is smaller than the sum of its proper divisors (1853152368).

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

831606240 is a wasteful number, since it uses less digits than its factorization.

831606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 831606240 is about 28837.5838100213. The cubic root of 831606240 is about 940.3854764271.

The spelling of 831606240 in words is "eight hundred thirty-one million, six hundred six thousand, two hundred forty".