10257968 has 40 divisors (see below), whose sum is σ = 23069952. Its totient is φ = 4327488.

The previous prime is 10257959. The next prime is 10257979. The reversal of 10257968 is 86975201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6821 + ... + 8187.

Almost surely, 2^10257968 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 10257968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534976).

10257968 is an abundant number, since it is smaller than the sum of its proper divisors (12811984).

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

10257968 is a wasteful number, since it uses less digits than its factorization.

10257968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 10257968 is about 3202.8062695080. The cubic root of 10257968 is about 217.2803472354.

The spelling of 10257968 in words is "ten million, two hundred fifty-seven thousand, nine hundred sixty-eight".