10685340 has 144 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 2601984.

The previous prime is 10685329. The next prime is 10685357. The reversal of 10685340 is 4358601.

It is a super-2 number, since 2×10685340² = 228352981831200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 120016 + ... + 120104.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^10685340 is an apocalyptic number.

10685340 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 10685340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

10685340 is an abundant number, since it is smaller than the sum of its proper divisors (24695460).

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

10685340 is a wasteful number, since it uses less digits than its factorization.

10685340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10685340 is about 3268.8438323052. The cubic root of 10685340 is about 220.2568625161.

It can be divided in two parts, 10685 and 340, that added together give a square (11025 = 105²).

The spelling of 10685340 in words is "ten million, six hundred eighty-five thousand, three hundred forty".