10806220 has 48 divisors (see below), whose sum is σ = 24706080. Its totient is φ = 3953664.

The previous prime is 10806181. The next prime is 10806221. The reversal of 10806220 is 2260801.

It is a happy number.

10806220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10806221) 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, 12151 + ... + 13009.

It is an arithmetic number, because the mean of its divisors is an integer number (514710).

Almost surely, 2^10806220 is an apocalyptic number.

10806220 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 10806220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12353040).

10806220 is an abundant number, since it is smaller than the sum of its proper divisors (13899860).

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

10806220 is a wasteful number, since it uses less digits than its factorization.

10806220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10806220 is about 3287.2815516776. The cubic root of 10806220 is about 221.0843163597.

It can be divided in two parts, 10806 and 220, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10806220 in words is "ten million, eight hundred six thousand, two hundred twenty".