10684820 has 12 divisors (see below), whose sum is σ = 22438164. Its totient is φ = 4273920.

The previous prime is 10684799. The next prime is 10684837. The reversal of 10684820 is 2848601.

It can be written as a sum of positive squares in 2 ways, for example, as 6990736 + 3694084 = 2644^2 + 1922^2 .

It is a super-2 number, since 2×10684820² = 228330756864800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267101 + ... + 267140.

It is an arithmetic number, because the mean of its divisors is an integer number (1869847).

Almost surely, 2^10684820 is an apocalyptic number.

10684820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10684820 is an abundant number, since it is smaller than the sum of its proper divisors (11753344).

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

10684820 is a wasteful number, since it uses less digits than its factorization.

10684820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534250 (or 534248 counting only the distinct ones).

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

The square root of 10684820 is about 3268.7642925118. The cubic root of 10684820 is about 220.2532895390.

It can be divided in two parts, 106 and 84820, that multiplied together give a triangular number (8990920 = T₄₂₄₀).

The spelling of 10684820 in words is "ten million, six hundred eighty-four thousand, eight hundred twenty".