10680280 has 128 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3497472.

The previous prime is 10680253. The next prime is 10680281. The reversal of 10680280 is 8208601.

10680280 = 115² + 116² + ... + 322².

It is a super-2 number, since 2×10680280² = 228136761756800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227217 + ... + 227263.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^10680280 is an apocalyptic number.

10680280 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 10680280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

10680280 is an abundant number, since it is smaller than the sum of its proper divisors (18350120).

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

10680280 is a wasteful number, since it uses less digits than its factorization.

10680280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10680280 is about 3268.0697666972. The cubic root of 10680280 is about 220.2220897747. Note that the first 3 decimals are identical.

Adding to 10680280 its reverse (8208601), we get a palindrome (18888881).

The spelling of 10680280 in words is "ten million, six hundred eighty thousand, two hundred eighty".