10280880 has 120 divisors (see below), whose sum is σ = 35109360. Its totient is φ = 2695680.

The previous prime is 10280867. The next prime is 10280929. The reversal of 10280880 is 8808201.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78415 + ... + 78545.

It is an arithmetic number, because the mean of its divisors is an integer number (292578).

Almost surely, 2^10280880 is an apocalyptic number.

10280880 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 10280880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554680).

10280880 is an abundant number, since it is smaller than the sum of its proper divisors (24828480).

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

10280880 is a wasteful number, since it uses less digits than its factorization.

10280880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10280880 is about 3206.3811376691. The cubic root of 10280880 is about 217.4419980097.

The spelling of 10280880 in words is "ten million, two hundred eighty thousand, eight hundred eighty".