10706320 has 40 divisors (see below), whose sum is σ = 25572024. Its totient is φ = 4165632.

The previous prime is 10706309. The next prime is 10706321. The reversal of 10706320 is 2360701.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 10316944 = 624^2 + 3212^2 .

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

It is a super-2 number, since 2×10706320² = 229250575884800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706321) 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, 1152 + ... + 4768.

Almost surely, 2^10706320 is an apocalyptic number.

10706320 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 10706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786012).

10706320 is an abundant number, since it is smaller than the sum of its proper divisors (14865704).

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

10706320 is a wasteful number, since it uses less digits than its factorization.

10706320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 10706320 is about 3272.0513443404. The cubic root of 10706320 is about 220.4009218201.

It can be divided in two parts, 10706 and 320, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10706320 in words is "ten million, seven hundred six thousand, three hundred twenty".