10846820 has 24 divisors (see below), whose sum is σ = 22902264. Its totient is φ = 4315136.

The previous prime is 10846819. The next prime is 10846859. The reversal of 10846820 is 2864801.

It can be written as a sum of positive squares in 4 ways, for example, as 6677056 + 4169764 = 2584^2 + 2042^2 .

It is a super-2 number, since 2×10846820² = 235307008224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2564 + ... + 5316.

It is an arithmetic number, because the mean of its divisors is an integer number (954261).

Almost surely, 2^10846820 is an apocalyptic number.

10846820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10846820 is an abundant number, since it is smaller than the sum of its proper divisors (12055444).

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

10846820 is a wasteful number, since it uses less digits than its factorization.

10846820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 10846820 is about 3293.4510775173. The cubic root of 10846820 is about 221.3608486220.

The spelling of 10846820 in words is "ten million, eight hundred forty-six thousand, eight hundred twenty".