10665680 has 20 divisors (see below), whose sum is σ = 24797892. Its totient is φ = 4266240.

The previous prime is 10665679. The next prime is 10665689. The reversal of 10665680 is 8656601.

10665680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6948496 + 3717184 = 2636^2 + 1928^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10665680² = 227513459724800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66581 + ... + 66740.

Almost surely, 2^10665680 is an apocalyptic number.

10665680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10665680 is an abundant number, since it is smaller than the sum of its proper divisors (14132212).

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

10665680 is a wasteful number, since it uses less digits than its factorization.

10665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133334 (or 133328 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 10665680 is about 3265.8352683502. The cubic root of 10665680 is about 220.1216957555.

The spelling of 10665680 in words is "ten million, six hundred sixty-five thousand, six hundred eighty".