10254880 has 48 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 4056832.

The previous prime is 10254841. The next prime is 10254887. The reversal of 10254880 is 8845201.

It is not an unprimeable number, because it can be changed into a prime (10254887) 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, 16821 + ... + 17419.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^10254880 is an apocalyptic number.

10254880 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 10254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

10254880 is an abundant number, since it is smaller than the sum of its proper divisors (14239520).

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

10254880 is a wasteful number, since it uses less digits than its factorization.

10254880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 10254880 is about 3202.3241559842. The cubic root of 10254880 is about 217.2585421030.

The spelling of 10254880 in words is "ten million, two hundred fifty-four thousand, eight hundred eighty".