10185768 has 48 divisors (see below), whose sum is σ = 27767220. Its totient is φ = 3373056.

The previous prime is 10185761. The next prime is 10185779. The reversal of 10185768 is 86758101.

It can be written as a sum of positive squares in 2 ways, for example, as 9847044 + 338724 = 3138^2 + 582^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10185761) by changing a digit.

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, 13530 + ... + 14262.

Almost surely, 2^10185768 is an apocalyptic number.

10185768 is a gapful number since it is divisible by the number (18) 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 10185768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883610).

10185768 is an abundant number, since it is smaller than the sum of its proper divisors (17581452).

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

10185768 is a wasteful number, since it uses less digits than its factorization.

10185768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 10185768 is about 3191.5150007481. The cubic root of 10185768 is about 216.7693756301.

It can be divided in two parts, 1018 and 5768, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 10185768 in words is "ten million, one hundred eighty-five thousand, seven hundred sixty-eight".