10806640 has 40 divisors (see below), whose sum is σ = 27060768. Its totient is φ = 3989760.

The previous prime is 10806637. The next prime is 10806641. The reversal of 10806640 is 4660801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4156 + ... + 6235.

Almost surely, 2^10806640 is an apocalyptic number.

10806640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10806640 is an abundant number, since it is smaller than the sum of its proper divisors (16254128).

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

10806640 is a wasteful number, since it uses less digits than its factorization.

10806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10806640 is about 3287.3454336288. The cubic root of 10806640 is about 221.0871805808.

The spelling of 10806640 in words is "ten million, eight hundred six thousand, six hundred forty".