10000968 has 32 divisors (see below), whose sum is σ = 25238400. Its totient is φ = 3302208.

The previous prime is 10000967. The next prime is 10000987. The reversal of 10000968 is 86900001.

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

It is not an unprimeable number, because it can be changed into a prime (10000961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (788700).

Almost surely, 2^10000968 is an apocalyptic number.

It is an amenable number.

10000968 is an abundant number, since it is smaller than the sum of its proper divisors (15237432).

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

10000968 is a wasteful number, since it uses less digits than its factorization.

10000968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10000968 is about 3162.4307107034. The cubic root of 10000968 is about 215.4504204215.

Adding to 10000968 its reverse (86900001), we get a palindrome (96900969).

The spelling of 10000968 in words is "ten million, nine hundred sixty-eight", and thus it is an aban number.