22459680 has 120 divisors (see below), whose sum is σ = 79309692. Its totient is φ = 5985792.

The previous prime is 22459649. The next prime is 22459699. The reversal of 22459680 is 8695422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 219024 = 4716^2 + 468^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 12094 + ... + 13826.

Almost surely, 2^22459680 is an apocalyptic number.

22459680 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 22459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39654846).

22459680 is an abundant number, since it is smaller than the sum of its proper divisors (56850012).

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

22459680 is a wasteful number, since it uses less digits than its factorization.

22459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22459680 is about 4739.1644833240. The cubic root of 22459680 is about 282.1420741770.

It can be divided in two parts, 224596 and 80, that added together give a square (224676 = 474²).

The spelling of 22459680 in words is "twenty-two million, four hundred fifty-nine thousand, six hundred eighty".