10685952 has 80 divisors (see below), whose sum is σ = 31672080. Its totient is φ = 3557376.

The previous prime is 10685921. The next prime is 10685957. The reversal of 10685952 is 25958601.

It is a happy number.

10685952 is a `hidden beast` number, since 1 + 0 + 68 + 595 + 2 = 666.

It is a super-2 number, since 2×10685952² = 228379140292608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10685957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13438 + ... + 14210.

It is an arithmetic number, because the mean of its divisors is an integer number (395901).

Almost surely, 2^10685952 is an apocalyptic number.

10685952 is a gapful number since it is divisible by the number (12) 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 10685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836040).

10685952 is an abundant number, since it is smaller than the sum of its proper divisors (20986128).

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

10685952 is an frugal number, since it uses more digits than its factorization.

10685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 10685952 is about 3268.9374420444. The cubic root of 10685952 is about 220.2610674869.

The spelling of 10685952 in words is "ten million, six hundred eighty-five thousand, nine hundred fifty-two".