21750160 has 40 divisors (see below), whose sum is σ = 51409656. Its totient is φ = 8555520.

The previous prime is 21750151. The next prime is 21750161. The reversal of 21750160 is 6105712.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 21418384 = 576^2 + 4628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (21750161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2652 + ... + 7108.

Almost surely, 2^21750160 is an apocalyptic number.

21750160 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 21750160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704828).

21750160 is an abundant number, since it is smaller than the sum of its proper divisors (29659496).

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

21750160 is a wasteful number, since it uses less digits than its factorization.

21750160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 21750160 is about 4663.7066803134. The cubic root of 21750160 is about 279.1391930588.

Adding to 21750160 its reverse (6105712), we get a palindrome (27855872).

The spelling of 21750160 in words is "twenty-one million, seven hundred fifty thousand, one hundred sixty".