10257760 has 48 divisors (see below), whose sum is σ = 24654672. Its totient is φ = 4032000.

The previous prime is 10257743. The next prime is 10257761. The reversal of 10257760 is 6775201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257761) 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, 9235 + ... + 10285.

It is an arithmetic number, because the mean of its divisors is an integer number (513639).

Almost surely, 2^10257760 is an apocalyptic number.

10257760 is a gapful number since it is divisible by the number (10) 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 10257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327336).

10257760 is an abundant number, since it is smaller than the sum of its proper divisors (14396912).

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

10257760 is a wasteful number, since it uses less digits than its factorization.

10257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 10257760 is about 3202.7737978196. The cubic root of 10257760 is about 217.2788786334.

The spelling of 10257760 in words is "ten million, two hundred fifty-seven thousand, seven hundred sixty".