10306832 has 40 divisors (see below), whose sum is σ = 20962200. Its totient is φ = 4902912.

The previous prime is 10306817. The next prime is 10306859. The reversal of 10306832 is 23860301.

It can be written as a sum of positive squares in 4 ways, for example, as 3671056 + 6635776 = 1916^2 + 2576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10306798 and 10306807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44894 + ... + 45122.

It is an arithmetic number, because the mean of its divisors is an integer number (524055).

Almost surely, 2^10306832 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 10306832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10481100).

10306832 is an abundant number, since it is smaller than the sum of its proper divisors (10655368).

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

10306832 is a wasteful number, since it uses less digits than its factorization.

10306832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10306832 is about 3210.4255169681. The cubic root of 10306832 is about 217.6248070406.

The spelling of 10306832 in words is "ten million, three hundred six thousand, eight hundred thirty-two".