21585480 has 96 divisors (see below), whose sum is σ = 75349440. Its totient is φ = 4932480.

The previous prime is 21585439. The next prime is 21585493. The reversal of 21585480 is 8458512.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4045 + ... + 7715.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 2^21585480 is an apocalyptic number.

21585480 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 21585480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37674720).

21585480 is an abundant number, since it is smaller than the sum of its proper divisors (53763960).

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

21585480 is a wasteful number, since it uses less digits than its factorization.

21585480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 21585480 is about 4646.0176495575. The cubic root of 21585480 is about 278.4329124453.

The spelling of 21585480 in words is "twenty-one million, five hundred eighty-five thousand, four hundred eighty".