21585120 has 96 divisors (see below), whose sum is σ = 68638752. Its totient is φ = 5701632.

The previous prime is 21585107. The next prime is 21585127. The reversal of 21585120 is 2158512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21585127) 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, 92524 + ... + 92756.

It is an arithmetic number, because the mean of its divisors is an integer number (714987).

Almost surely, 2^21585120 is an apocalyptic number.

21585120 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 21585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34319376).

21585120 is an abundant number, since it is smaller than the sum of its proper divisors (47053632).

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

21585120 is a wasteful number, since it uses less digits than its factorization.

21585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 21585120 is about 4645.9789065384. The cubic root of 21585120 is about 278.4313645467.

The spelling of 21585120 in words is "twenty-one million, five hundred eighty-five thousand, one hundred twenty".