10766641 has 16 divisors (see below), whose sum is σ = 11708928. Its totient is φ = 9878400.

The previous prime is 10766633. The next prime is 10766669. The reversal of 10766641 is 14666701.

It is a cyclic number.

It is not a de Polignac number, because 10766641 - 2³ = 10766633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10766611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54555 + ... + 54751.

It is an arithmetic number, because the mean of its divisors is an integer number (731808).

Almost surely, 2^10766641 is an apocalyptic number.

It is an amenable number.

10766641 is a deficient number, since it is larger than the sum of its proper divisors (942287).

10766641 is a wasteful number, since it uses less digits than its factorization.

10766641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 10766641 is about 3281.2560095183. The cubic root of 10766641 is about 220.8140707379.

The spelling of 10766641 in words is "ten million, seven hundred sixty-six thousand, six hundred forty-one".