10285968 has 160 divisors (see below), whose sum is σ = 34854912. Its totient is φ = 2555520.

The previous prime is 10285967. The next prime is 10285999. The reversal of 10285968 is 86958201.

10285968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10285968² = 211602275394048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10285967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447205 + ... + 447227.

Almost surely, 2^10285968 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 10285968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427456).

10285968 is an abundant number, since it is smaller than the sum of its proper divisors (24568944).

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

10285968 is a wasteful number, since it uses less digits than its factorization.

10285968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 10285968 is about 3207.1744573690. The cubic root of 10285968 is about 217.4778627225.

It can be divided in two parts, 1028 and 5968, that added together give a palindrome (6996).

The spelling of 10285968 in words is "ten million, two hundred eighty-five thousand, nine hundred sixty-eight".