22746240 has 192 divisors, whose sum is σ = 85924800. Its totient is φ = 5498880.

The previous prime is 22746239. The next prime is 22746257. The reversal of 22746240 is 4264722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63181 + ... + 63539.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 2^22746240 is an apocalyptic number.

22746240 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 22746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962400).

22746240 is an abundant number, since it is smaller than the sum of its proper divisors (63178560).

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

22746240 is a wasteful number, since it uses less digits than its factorization.

22746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 22746240 is about 4769.3018356988. The cubic root of 22746240 is about 283.3369442062.

The spelling of 22746240 in words is "twenty-two million, seven hundred forty-six thousand, two hundred forty".