10966920 has 64 divisors (see below), whose sum is σ = 33480000. Its totient is φ = 2873088.

The previous prime is 10966913. The next prime is 10966937. The reversal of 10966920 is 2966901.

It is a happy number.

10966920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6306 + ... + 7854.

It is an arithmetic number, because the mean of its divisors is an integer number (523125).

Almost surely, 2^10966920 is an apocalyptic number.

10966920 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 10966920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740000).

10966920 is an abundant number, since it is smaller than the sum of its proper divisors (22513080).

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

10966920 is a wasteful number, since it uses less digits than its factorization.

10966920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 10966920 is about 3311.6340377524. The cubic root of 10966920 is about 222.1748480495.

The spelling of 10966920 in words is "ten million, nine hundred sixty-six thousand, nine hundred twenty".