10239768 has 96 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 2658240.

The previous prime is 10239767. The next prime is 10239781. The reversal of 10239768 is 86793201.

10239768 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4621 + ... + 6467.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^10239768 is an apocalyptic number.

10239768 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 10239768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

10239768 is an abundant number, since it is smaller than the sum of its proper divisors (24354792).

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

10239768 is a wasteful number, since it uses less digits than its factorization.

10239768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1870 counting only the distinct ones).

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

The square root of 10239768 is about 3199.9637497947. The cubic root of 10239768 is about 217.1517693546.

It can be divided in two parts, 10 and 239768, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 10239768 in words is "ten million, two hundred thirty-nine thousand, seven hundred sixty-eight".