10280960 has 56 divisors (see below), whose sum is σ = 24771096. Its totient is φ = 4096000.

The previous prime is 10280953. The next prime is 10280983. The reversal of 10280960 is 6908201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40835 + ... + 41085.

It is an arithmetic number, because the mean of its divisors is an integer number (442341).

Almost surely, 2^10280960 is an apocalyptic number.

10280960 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 10280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385548).

10280960 is an abundant number, since it is smaller than the sum of its proper divisors (14490136).

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

10280960 is an frugal number, since it uses more digits than its factorization.

10280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10280960 is about 3206.3936127681. The cubic root of 10280960 is about 217.4425620118.

The spelling of 10280960 in words is "ten million, two hundred eighty thousand, nine hundred sixty".