10957760 has 84 divisors (see below), whose sum is σ = 28782264. Its totient is φ = 3970560.

The previous prime is 10957753. The next prime is 10957777. The reversal of 10957760 is 6775901.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 10957760.

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 11 ways as a sum of consecutive naturals, for example, 38579 + ... + 38861.

It is an arithmetic number, because the mean of its divisors is an integer number (342646).

Almost surely, 2^10957760 is an apocalyptic number.

10957760 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 10957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391132).

10957760 is an abundant number, since it is smaller than the sum of its proper divisors (17824504).

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

10957760 is a wasteful number, since it uses less digits than its factorization.

10957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 10957760 is about 3310.2507457895. The cubic root of 10957760 is about 222.1129744491.

The spelling of 10957760 in words is "ten million, nine hundred fifty-seven thousand, seven hundred sixty".