21575120 has 80 divisors (see below), whose sum is σ = 58389120. Its totient is φ = 7260672.

The previous prime is 21575117. The next prime is 21575129. The reversal of 21575120 is 2157512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21575129) 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 15 ways as a sum of consecutive naturals, for example, 32714 + ... + 33366.

It is an arithmetic number, because the mean of its divisors is an integer number (729864).

Almost surely, 2^21575120 is an apocalyptic number.

21575120 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 21575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29194560).

21575120 is an abundant number, since it is smaller than the sum of its proper divisors (36814000).

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

21575120 is a wasteful number, since it uses less digits than its factorization.

21575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 21575120 is about 4644.9025824015. The cubic root of 21575120 is about 278.3883604814.

The spelling of 21575120 in words is "twenty-one million, five hundred seventy-five thousand, one hundred twenty".