22864680 has 80 divisors (see below), whose sum is σ = 76861620. Its totient is φ = 6096384.

The previous prime is 22864669. The next prime is 22864687. The reversal of 22864680 is 8646822.

22864680 is a `hidden beast` number, since 2 + 2 + 8 + 646 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20738916 + 2125764 = 4554^2 + 1458^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22864687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289 + ... + 6768.

Almost surely, 2^22864680 is an apocalyptic number.

22864680 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 22864680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38430810).

22864680 is an abundant number, since it is smaller than the sum of its proper divisors (53996940).

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

22864680 is a wasteful number, since it uses less digits than its factorization.

22864680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 22864680 is about 4781.7026256345. The cubic root of 22864680 is about 283.8278729513.

It can be divided in two parts, 2 and 2864680, that added together give a palindrome (2864682).

The spelling of 22864680 in words is "twenty-two million, eight hundred sixty-four thousand, six hundred eighty".