832410040 has 96 divisors (see below), whose sum is σ = 2376831600. Its totient is φ = 259445760.

The previous prime is 832410037. The next prime is 832410067. The reversal of 832410040 is 40014238.

832410040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 832409993 and 832410020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2256 + ... + 40864.

Almost surely, 2^832410040 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 832410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188415800).

832410040 is an abundant number, since it is smaller than the sum of its proper divisors (1544421560).

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

832410040 is a wasteful number, since it uses less digits than its factorization.

832410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38645 (or 38634 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 832410040 is about 28851.5171178224. The cubic root of 832410040 is about 940.6883595323.

Adding to 832410040 its reverse (40014238), we get a palindrome (872424278).

The spelling of 832410040 in words is "eight hundred thirty-two million, four hundred ten thousand, forty".