10605968 has 20 divisors (see below), whose sum is σ = 21212928. Its totient is φ = 5131680.

The previous prime is 10605961. The next prime is 10605983. The reversal of 10605968 is 86950601.

10605968 is an admirable number.

It is a super-2 number, since 2×10605968² = 224973114434048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10196 + ... + 11187.

Almost surely, 2^10605968 is an apocalyptic number.

It is an amenable number.

10605968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10605968 is a wasteful number, since it uses less digits than its factorization.

10605968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21422 (or 21416 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 10605968 is about 3256.6805185649. The cubic root of 10605968 is about 219.7101416844.

The spelling of 10605968 in words is "ten million, six hundred five thousand, nine hundred sixty-eight".