10681280 has 56 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 4121600.

The previous prime is 10681277. The next prime is 10681289. The reversal of 10681280 is 8218601.

10681280 = 223² + 224² + ... + 350².

10681280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10681280² = 228179484876800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681289) 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, 8705 + ... + 9855.

Almost surely, 2^10681280 is an apocalyptic number.

10681280 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 10681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

10681280 is an abundant number, since it is smaller than the sum of its proper divisors (15653440).

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

10681280 is a wasteful number, since it uses less digits than its factorization.

10681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 10681280 is about 3268.2227586259. Note that the first 3 decimals coincide. The cubic root of 10681280 is about 220.2289627287.

Adding to 10681280 its reverse (8218601), we get a palindrome (18899881).

The spelling of 10681280 in words is "ten million, six hundred eighty-one thousand, two hundred eighty".