10827216 has 80 divisors (see below), whose sum is σ = 31605120. Its totient is φ = 3548160.

The previous prime is 10827209. The next prime is 10827221. The reversal of 10827216 is 61272801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10827216.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30496 + ... + 30848.

It is an arithmetic number, because the mean of its divisors is an integer number (395064).

Almost surely, 2^10827216 is an apocalyptic number.

10827216 is a gapful number since it is divisible by the number (16) 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 10827216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802560).

10827216 is an abundant number, since it is smaller than the sum of its proper divisors (20777904).

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

10827216 is a wasteful number, since it uses less digits than its factorization.

10827216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10827216 is about 3290.4735221545. The cubic root of 10827216 is about 221.2274093568.

The spelling of 10827216 in words is "ten million, eight hundred twenty-seven thousand, two hundred sixteen".