21845160 has 128 divisors (see below), whose sum is σ = 73872000. Its totient is φ = 5741568.

The previous prime is 21845113. The next prime is 21845179. The reversal of 21845160 is 6154812.

It is a super-2 number, since 2×21845160² = 954422030851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 121951 + ... + 122129.

It is an arithmetic number, because the mean of its divisors is an integer number (577125).

Almost surely, 2^21845160 is an apocalyptic number.

21845160 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 21845160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36936000).

21845160 is an abundant number, since it is smaller than the sum of its proper divisors (52026840).

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

21845160 is a wasteful number, since it uses less digits than its factorization.

21845160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 21845160 is about 4673.8806146499. The cubic root of 21845160 is about 279.5450093552.

Adding to 21845160 its reverse (6154812), we get a palindrome (27999972).

The spelling of 21845160 in words is "twenty-one million, eight hundred forty-five thousand, one hundred sixty".