21322080 has 288 divisors, whose sum is σ = 84206304. Its totient is φ = 4866048.

The previous prime is 21322073. The next prime is 21322099. The reversal of 21322080 is 8022312.

21322080 = T₄₅ + T₄₆ + ... + T₅₀₃.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318207 + ... + 318273.

It is an arithmetic number, because the mean of its divisors is an integer number (292383).

Almost surely, 2^21322080 is an apocalyptic number.

21322080 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 21322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152).

21322080 is an abundant number, since it is smaller than the sum of its proper divisors (62884224).

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

21322080 is a wasteful number, since it uses less digits than its factorization.

21322080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21322080 is about 4617.5837837553. The cubic root of 21322080 is about 277.2957347534.

Adding to 21322080 its reverse (8022312), we get a palindrome (29344392).

The spelling of 21322080 in words is "twenty-one million, three hundred twenty-two thousand, eighty".