10543968 has 72 divisors (see below), whose sum is σ = 30977856. Its totient is φ = 3398400.

The previous prime is 10543957. The next prime is 10544003. The reversal of 10543968 is 86934501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10543968² = 222350522370048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8338 + ... + 9518.

It is an arithmetic number, because the mean of its divisors is an integer number (430248).

Almost surely, 2^10543968 is an apocalyptic number.

10543968 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 10543968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15488928).

10543968 is an abundant number, since it is smaller than the sum of its proper divisors (20433888).

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

10543968 is a wasteful number, since it uses less digits than its factorization.

10543968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10543968 is about 3247.1476714187. The cubic root of 10543968 is about 219.2811800830.

It can be divided in two parts, 10543 and 968, that added together give a palindrome (11511).

The spelling of 10543968 in words is "ten million, five hundred forty-three thousand, nine hundred sixty-eight".