10282080 has 96 divisors (see below), whose sum is σ = 33481728. Its totient is φ = 2649600.

The previous prime is 10282073. The next prime is 10282109. The reversal of 10282080 is 8028201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 14535 + ... + 15225.

It is an arithmetic number, because the mean of its divisors is an integer number (348768).

Almost surely, 2^10282080 is an apocalyptic number.

10282080 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 10282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740864).

10282080 is an abundant number, since it is smaller than the sum of its proper divisors (23199648).

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

10282080 is a wasteful number, since it uses less digits than its factorization.

10282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10282080 is about 3206.5682590583. The cubic root of 10282080 is about 217.4504577345.

The spelling of 10282080 in words is "ten million, two hundred eighty-two thousand, eighty".