10987168 has 48 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 4893696.

The previous prime is 10987159. The next prime is 10987177. The reversal of 10987168 is 86178901.

It is an interprime number because it is at equal distance from previous prime (10987159) and next prime (10987177).

It is a self number, because there is not a number n which added to its sum of digits gives 10987168.

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 7 ways as a sum of consecutive naturals, for example, 9805 + ... + 10867.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^10987168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10987168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10987168 is an abundant number, since it is smaller than the sum of its proper divisors (13144352).

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

10987168 is a wasteful number, since it uses less digits than its factorization.

10987168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 10987168 is about 3314.6897290697. The cubic root of 10987168 is about 222.3114962790.

The spelling of 10987168 in words is "ten million, nine hundred eighty-seven thousand, one hundred sixty-eight".