10806000 has 80 divisors (see below), whose sum is σ = 34857888. Its totient is φ = 2880000.

The previous prime is 10805983. The next prime is 10806017. The reversal of 10806000 is 60801.

It is an interprime number because it is at equal distance from previous prime (10805983) and next prime (10806017).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5100 + ... + 6900.

Almost surely, 2^10806000 is an apocalyptic number.

10806000 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 10806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428944).

10806000 is an abundant number, since it is smaller than the sum of its proper divisors (24051888).

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

10806000 is a wasteful number, since it uses less digits than its factorization.

10806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10806000 is about 3287.2480892077. The cubic root of 10806000 is about 221.0828160238.

Adding to 10806000 its reverse (60801), we get a palindrome (10866801).

The spelling of 10806000 in words is "ten million, eight hundred six thousand".