10755216 has 60 divisors (see below), whose sum is σ = 31691920. Its totient is φ = 3395520.

The previous prime is 10755211. The next prime is 10755253. The reversal of 10755216 is 61255701.

10755216 is a `hidden beast` number, since 107 + 552 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10755216.

It is not an unprimeable number, because it can be changed into a prime (10755211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771 + ... + 4701.

Almost surely, 2^10755216 is an apocalyptic number.

10755216 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 10755216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845960).

10755216 is an abundant number, since it is smaller than the sum of its proper divisors (20936704).

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

10755216 is a wasteful number, since it uses less digits than its factorization.

10755216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 10755216 is about 3279.5145982294. The cubic root of 10755216 is about 220.7359376216.

The spelling of 10755216 in words is "ten million, seven hundred fifty-five thousand, two hundred sixteen".