22765680 has 120 divisors (see below), whose sum is σ = 87396192. Its totient is φ = 5202432.

The previous prime is 22765679. The next prime is 22765709. The reversal of 22765680 is 8656722.

22765680 is a `hidden beast` number, since 22 + 76 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2782 + ... + 7298.

Almost surely, 2^22765680 is an apocalyptic number.

22765680 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 22765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43698096).

22765680 is an abundant number, since it is smaller than the sum of its proper divisors (64630512).

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

22765680 is a wasteful number, since it uses less digits than its factorization.

22765680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 22765680 is about 4771.3394345823. The cubic root of 22765680 is about 283.4176388879.

The spelling of 22765680 in words is "twenty-two million, seven hundred sixty-five thousand, six hundred eighty".