10250880 has 128 divisors (see below), whose sum is σ = 34516800. Its totient is φ = 2580480.

The previous prime is 10250873. The next prime is 10250897. The reversal of 10250880 is 8805201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10250880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36340 + ... + 36620.

Almost surely, 2^10250880 is an apocalyptic number.

10250880 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 10250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258400).

10250880 is an abundant number, since it is smaller than the sum of its proper divisors (24265920).

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

10250880 is a wasteful number, since it uses less digits than its factorization.

10250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 10250880 is about 3201.6995486772. The cubic root of 10250880 is about 217.2302906044.

The spelling of 10250880 in words is "ten million, two hundred fifty thousand, eight hundred eighty".