10329768 has 80 divisors (see below), whose sum is σ = 30492000. Its totient is φ = 3258144.

The previous prime is 10329763. The next prime is 10329769. The reversal of 10329768 is 86792301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10329763) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11893 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (381150).

Almost surely, 2^10329768 is an apocalyptic number.

10329768 is a gapful number since it is divisible by the number (18) 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 10329768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15246000).

10329768 is an abundant number, since it is smaller than the sum of its proper divisors (20162232).

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

10329768 is a wasteful number, since it uses less digits than its factorization.

10329768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10329768 is about 3213.9956440543. The cubic root of 10329768 is about 217.7861157281.

The spelling of 10329768 in words is "ten million, three hundred twenty-nine thousand, seven hundred sixty-eight".