21760160 has 48 divisors (see below), whose sum is σ = 51692256. Its totient is φ = 8656128.

The previous prime is 21760159. The next prime is 21760163. The reversal of 21760160 is 6106712.

It is not an unprimeable number, because it can be changed into a prime (21760163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48899 + ... + 49341.

It is an arithmetic number, because the mean of its divisors is an integer number (1076922).

Almost surely, 2^21760160 is an apocalyptic number.

21760160 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 21760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25846128).

21760160 is an abundant number, since it is smaller than the sum of its proper divisors (29932096).

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

21760160 is a wasteful number, since it uses less digits than its factorization.

21760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 21760160 is about 4664.7786657032. The cubic root of 21760160 is about 279.1819661425.

Adding to 21760160 its reverse (6106712), we get a palindrome (27866872).

The spelling of 21760160 in words is "twenty-one million, seven hundred sixty thousand, one hundred sixty".