10255968 has 72 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 3381504.

The previous prime is 10255963. The next prime is 10256039. The reversal of 10255968 is 86955201.

It is a happy number.

10255968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10255963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42793 + ... + 43031.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 2^10255968 is an apocalyptic number.

10255968 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 10255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

10255968 is an abundant number, since it is smaller than the sum of its proper divisors (19228032).

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

10255968 is a wasteful number, since it uses less digits than its factorization.

10255968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 10255968 is about 3202.4940280975. The cubic root of 10255968 is about 217.2662252397.

The spelling of 10255968 in words is "ten million, two hundred fifty-five thousand, nine hundred sixty-eight".