10806768 has 120 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 3024000.

The previous prime is 10806751. The next prime is 10806769. The reversal of 10806768 is 86760801.

10806768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (10806769) 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, 71493 + ... + 71643.

Almost surely, 2^10806768 is an apocalyptic number.

10806768 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 10806768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

10806768 is an abundant number, since it is smaller than the sum of its proper divisors (24476688).

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

10806768 is a wasteful number, since it uses less digits than its factorization.

10806768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 10806768 is about 3287.3649021671. The cubic root of 10806768 is about 221.0880534715.

The spelling of 10806768 in words is "ten million, eight hundred six thousand, seven hundred sixty-eight".