10768940 has 96 divisors (see below), whose sum is σ = 28581504. Its totient is φ = 3317760.

The previous prime is 10768907. The next prime is 10768943. The reversal of 10768940 is 4986701.

10768940 = 14² + 15² + ... + 318².

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10768940.

It is not an unprimeable number, because it can be changed into a prime (10768943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110972 + ... + 111068.

It is an arithmetic number, because the mean of its divisors is an integer number (297724).

Almost surely, 2^10768940 is an apocalyptic number.

10768940 is a gapful number since it is divisible by the number (10) 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 10768940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290752).

10768940 is an abundant number, since it is smaller than the sum of its proper divisors (17812564).

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

10768940 is a wasteful number, since it uses less digits than its factorization.

10768940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10768940 is about 3281.6063139871. The cubic root of 10768940 is about 220.8297864230.

The spelling of 10768940 in words is "ten million, seven hundred sixty-eight thousand, nine hundred forty".