10509666 has 16 divisors (see below), whose sum is σ = 21933504. Its totient is φ = 3350864.

The previous prime is 10509661. The next prime is 10509677. The reversal of 10509666 is 66690501.

It is a super-2 number, since 2×10509666² = 220906158863112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10509661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37941 + ... + 38216.

It is an arithmetic number, because the mean of its divisors is an integer number (1370844).

Almost surely, 2^10509666 is an apocalyptic number.

10509666 is an abundant number, since it is smaller than the sum of its proper divisors (11423838).

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

10509666 is a wasteful number, since it uses less digits than its factorization.

10509666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76185.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 10509666 is about 3241.8615022854. The cubic root of 10509666 is about 219.0431307224.

It can be divided in two parts, 10509 and 666, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 10509666 in words is "ten million, five hundred nine thousand, six hundred sixty-six".