10685376 has 84 divisors (see below), whose sum is σ = 33006792. Its totient is φ = 3285504.

The previous prime is 10685357. The next prime is 10685377. The reversal of 10685376 is 67358601.

It is a super-2 number, since 2×10685376² = 228354520522752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10685376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10685377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6775 + ... + 8201.

It is an arithmetic number, because the mean of its divisors is an integer number (392938).

Almost surely, 2^10685376 is an apocalyptic number.

10685376 is a gapful number since it is divisible by the number (16) 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 10685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16503396).

10685376 is an abundant number, since it is smaller than the sum of its proper divisors (22321416).

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

10685376 is a wasteful number, since it uses less digits than its factorization.

10685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 10685376 is about 3268.8493388347. The cubic root of 10685376 is about 220.2571098718.

It can be divided in two parts, 106853 and 76, that added together give a square (106929 = 327²).

The spelling of 10685376 in words is "ten million, six hundred eighty-five thousand, three hundred seventy-six".