22686240 has 96 divisors (see below), whose sum is σ = 72164736. Its totient is φ = 5990400.

The previous prime is 22686229. The next prime is 22686253. The reversal of 22686240 is 4268622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22686198 and 22686207.

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, 72324 + ... + 72636.

It is an arithmetic number, because the mean of its divisors is an integer number (751716).

Almost surely, 2^22686240 is an apocalyptic number.

22686240 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 22686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36082368).

22686240 is an abundant number, since it is smaller than the sum of its proper divisors (49478496).

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

22686240 is a wasteful number, since it uses less digits than its factorization.

22686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 22686240 is about 4763.0074532799. The cubic root of 22686240 is about 283.0875962361.

The spelling of 22686240 in words is "twenty-two million, six hundred eighty-six thousand, two hundred forty".