10872680 has 128 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3290112.

The previous prime is 10872671. The next prime is 10872703. The reversal of 10872680 is 8627801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105509 + ... + 105611.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^10872680 is an apocalyptic number.

10872680 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 10872680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10872680 is an abundant number, since it is smaller than the sum of its proper divisors (20576920).

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

10872680 is a wasteful number, since it uses less digits than its factorization.

10872680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 10872680 is about 3297.3747133136. The cubic root of 10872680 is about 221.5366251282.

The spelling of 10872680 in words is "ten million, eight hundred seventy-two thousand, six hundred eighty".