10166760 has 96 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 2620800.

The previous prime is 10166743. The next prime is 10166777. The reversal of 10166760 is 6766101.

It is an interprime number because it is at equal distance from previous prime (10166743) and next prime (10166777).

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 23 ways as a sum of consecutive naturals, for example, 10705 + ... + 11615.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 2^10166760 is an apocalyptic number.

10166760 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 10166760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

10166760 is an abundant number, since it is smaller than the sum of its proper divisors (23978520).

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

10166760 is a wasteful number, since it uses less digits than its factorization.

10166760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10166760 is about 3188.5357140857. The cubic root of 10166760 is about 216.6344514891.

It can be divided in two parts, 1016 and 6760, that added together give a 5-th power (7776 = 6⁵).

The spelling of 10166760 in words is "ten million, one hundred sixty-six thousand, seven hundred sixty".