10380768 has 48 divisors (see below), whose sum is σ = 27651456. Its totient is φ = 3409280.

The previous prime is 10380767. The next prime is 10380787. The reversal of 10380768 is 86708301.

10380768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6055 + ... + 7577.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 2^10380768 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 10380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728).

10380768 is an abundant number, since it is smaller than the sum of its proper divisors (17270688).

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

10380768 is a wasteful number, since it uses less digits than its factorization.

10380768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10380768 is about 3221.9199245171. The cubic root of 10380768 is about 218.1439444361.

The spelling of 10380768 in words is "ten million, three hundred eighty thousand, seven hundred sixty-eight".