22321680 has 80 divisors (see below), whose sum is σ = 73281024. Its totient is φ = 5601280.

The previous prime is 22321679. The next prime is 22321699. The reversal of 22321680 is 8612322.

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

It is a super-3 number, since 3×22321680³ (a number of 23 digits) contains 333 as substring.

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 22321680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1345 + ... + 6815.

Almost surely, 2^22321680 is an apocalyptic number.

22321680 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 22321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640512).

22321680 is an abundant number, since it is smaller than the sum of its proper divisors (50959344).

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

22321680 is a wasteful number, since it uses less digits than its factorization.

22321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22321680 is about 4724.5825212393. The cubic root of 22321680 is about 281.5630272783.

The spelling of 22321680 in words is "twenty-two million, three hundred twenty-one thousand, six hundred eighty".