10982016 has 48 divisors (see below), whose sum is σ = 31605210. Its totient is φ = 3660288.

The previous prime is 10981987. The next prime is 10982053. The reversal of 10982016 is 61028901.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 484416 = 3240^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3615 + ... + 5918.

Almost surely, 2^10982016 is an apocalyptic number.

10982016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10982016 is an abundant number, since it is smaller than the sum of its proper divisors (20623194).

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

10982016 is an equidigital number, since it uses as much as digits as its factorization.

10982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10982016 is about 3313.9124913009. The cubic root of 10982016 is about 222.2767427708.

The spelling of 10982016 in words is "ten million, nine hundred eighty-two thousand, sixteen".