10939680 has 144 divisors (see below), whose sum is σ = 38211264. Its totient is φ = 2849280.

The previous prime is 10939667. The next prime is 10939703. The reversal of 10939680 is 8693901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102187 + ... + 102293.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 2^10939680 is an apocalyptic number.

10939680 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 10939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632).

10939680 is an abundant number, since it is smaller than the sum of its proper divisors (27271584).

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

10939680 is a wasteful number, since it uses less digits than its factorization.

10939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10939680 is about 3307.5187074301. The cubic root of 10939680 is about 221.9907471186.

The spelling of 10939680 in words is "ten million, nine hundred thirty-nine thousand, six hundred eighty".