22320720 has 120 divisors (see below), whose sum is σ = 77617800. Its totient is φ = 5741568.

The previous prime is 22320709. The next prime is 22320721. The reversal of 22320720 is 2702322.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 20142144 = 1476^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×22320720³ (a number of 23 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22320693 and 22320702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20346 + ... + 21414.

It is an arithmetic number, because the mean of its divisors is an integer number (646815).

Almost surely, 2^22320720 is an apocalyptic number.

22320720 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 22320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38808900).

22320720 is an abundant number, since it is smaller than the sum of its proper divisors (55297080).

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

22320720 is a wasteful number, since it uses less digits than its factorization.

22320720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 22320720 is about 4724.4809238688. The cubic root of 22320720 is about 281.5589907783.

The spelling of 22320720 in words is "twenty-two million, three hundred twenty thousand, seven hundred twenty".