10938168 has 48 divisors (see below), whose sum is σ = 30321720. Its totient is φ = 3560256.

The previous prime is 10938163. The next prime is 10938173. The reversal of 10938168 is 86183901.

It is an interprime number because it is at equal distance from previous prime (10938163) and next prime (10938173).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330 + ... + 4862.

Almost surely, 2^10938168 is an apocalyptic number.

10938168 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 10938168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160860).

10938168 is an abundant number, since it is smaller than the sum of its proper divisors (19383552).

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

10938168 is a wasteful number, since it uses less digits than its factorization.

10938168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10938168 is about 3307.2901293960. The cubic root of 10938168 is about 221.9805193522.

It can be divided in two parts, 1093 and 8168, that added together give a cube (9261 = 21³).

The spelling of 10938168 in words is "ten million, nine hundred thirty-eight thousand, one hundred sixty-eight".