10232768 has 84 divisors (see below), whose sum is σ = 25539192. Its totient is φ = 4032000.

The previous prime is 10232767. The next prime is 10232797. The reversal of 10232768 is 86723201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10232768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40643 + ... + 40893.

It is an arithmetic number, because the mean of its divisors is an integer number (304038).

Almost surely, 2^10232768 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 10232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769596).

10232768 is an abundant number, since it is smaller than the sum of its proper divisors (15306424).

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

10232768 is a wasteful number, since it uses less digits than its factorization.

10232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 10232768 is about 3198.8698004139. The cubic root of 10232768 is about 217.1022757562.

Adding to 10232768 its reverse (86723201), we get a palindrome (96955969).

The spelling of 10232768 in words is "ten million, two hundred thirty-two thousand, seven hundred sixty-eight".