10853160 has 64 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 2870016.

The previous prime is 10853153. The next prime is 10853201. The reversal of 10853160 is 6135801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10853160.

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 15 ways as a sum of consecutive naturals, for example, 17577 + ... + 18183.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^10853160 is an apocalyptic number.

10853160 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 10853160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).

10853160 is an abundant number, since it is smaller than the sum of its proper divisors (21978840).

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

10853160 is a wasteful number, since it uses less digits than its factorization.

10853160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10853160 is about 3294.4134531051. The cubic root of 10853160 is about 221.4039689231.

Adding to 10853160 its reverse (6135801), we get a palindrome (16988961).

The spelling of 10853160 in words is "ten million, eight hundred fifty-three thousand, one hundred sixty".