22682640 has 80 divisors (see below), whose sum is σ = 72763200. Its totient is φ = 5838336.

The previous prime is 22682593. The next prime is 22682651. The reversal of 22682640 is 4628622.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 22682598 and 22682607.

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, 5331 + ... + 8589.

It is an arithmetic number, because the mean of its divisors is an integer number (909540).

Almost surely, 2^22682640 is an apocalyptic number.

22682640 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 22682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36381600).

22682640 is an abundant number, since it is smaller than the sum of its proper divisors (50080560).

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

22682640 is a wasteful number, since it uses less digits than its factorization.

22682640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3298 counting only the distinct ones).

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

The square root of 22682640 is about 4762.6295257977. The cubic root of 22682640 is about 283.0726213841.

The spelling of 22682640 in words is "twenty-two million, six hundred eighty-two thousand, six hundred forty".