21116160 has 288 divisors, whose sum is σ = 82414080. Its totient is φ = 5087232.

The previous prime is 21116119. The next prime is 21116191. The reversal of 21116160 is 6161112.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449257 + ... + 449303.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^21116160 is an apocalyptic number.

21116160 is a gapful number since it is divisible by the number (20) 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 21116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

21116160 is an abundant number, since it is smaller than the sum of its proper divisors (61297920).

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

21116160 is a wasteful number, since it uses less digits than its factorization.

21116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 21116160 is about 4595.2323118641. The cubic root of 21116160 is about 276.4001756439.

Adding to 21116160 its reverse (6161112), we get a palindrome (27277272).

The spelling of 21116160 in words is "twenty-one million, one hundred sixteen thousand, one hundred sixty".