10081968 has 80 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 3052800.

The previous prime is 10081963. The next prime is 10081987. The reversal of 10081968 is 86918001.

10081968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10081961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66693 + ... + 66843.

Almost surely, 2^10081968 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 10081968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

10081968 is an abundant number, since it is smaller than the sum of its proper divisors (18416208).

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

10081968 is a wasteful number, since it uses less digits than its factorization.

10081968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 10081968 is about 3175.2114890193. The cubic root of 10081968 is about 216.0305169503.

Adding to 10081968 its reverse (86918001), we get a palindrome (96999969).

The spelling of 10081968 in words is "ten million, eighty-one thousand, nine hundred sixty-eight".