10966640 has 60 divisors (see below), whose sum is σ = 26568984. Its totient is φ = 4209408.

The previous prime is 10966633. The next prime is 10966661. The reversal of 10966640 is 4666901.

10966640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10966597 and 10966606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67199 + ... + 67361.

Almost surely, 2^10966640 is an apocalyptic number.

10966640 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 10966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284492).

10966640 is an abundant number, since it is smaller than the sum of its proper divisors (15602344).

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

10966640 is a wasteful number, since it uses less digits than its factorization.

10966640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 10966640 is about 3311.5917622799. The cubic root of 10966640 is about 222.1729572273.

The spelling of 10966640 in words is "ten million, nine hundred sixty-six thousand, six hundred forty".