22720320 has 336 divisors, whose sum is σ = 95097600. Its totient is φ = 4967424.

The previous prime is 22720319. The next prime is 22720349. The reversal of 22720320 is 2302722.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 22720293 and 22720302.

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, 987829 + ... + 987851.

Almost surely, 2^22720320 is an apocalyptic number.

22720320 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 22720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548800).

22720320 is an abundant number, since it is smaller than the sum of its proper divisors (72377280).

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

22720320 is a wasteful number, since it uses less digits than its factorization.

22720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

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

The square root of 22720320 is about 4766.5836822613. The cubic root of 22720320 is about 283.2292797458.

The spelling of 22720320 in words is "twenty-two million, seven hundred twenty thousand, three hundred twenty".