22776640 has 56 divisors (see below), whose sum is σ = 54818280. Its totient is φ = 9013248.

The previous prime is 22776631. The next prime is 22776643. The reversal of 22776640 is 4667722.

It can be written as a sum of positive squares in 4 ways, for example, as 1763584 + 21013056 = 1328^2 + 4584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22776596 and 22776605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22776643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34554 + ... + 35206.

Almost surely, 2^22776640 is an apocalyptic number.

22776640 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 22776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27409140).

22776640 is an abundant number, since it is smaller than the sum of its proper divisors (32041640).

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

22776640 is a wasteful number, since it uses less digits than its factorization.

22776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 22776640 is about 4772.4878208331. The cubic root of 22776640 is about 283.4631131716.

It can be divided in two parts, 227 and 76640, that added together give a palindrome (76867).

The spelling of 22776640 in words is "twenty-two million, seven hundred seventy-six thousand, six hundred forty".