22753680 has 80 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 6006784.

The previous prime is 22753673. The next prime is 22753681. The reversal of 22753680 is 8635722.

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

It is not an unprimeable number, because it can be changed into a prime (22753681) 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 15 ways as a sum of consecutive naturals, for example, 26701 + ... + 27539.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^22753680 is an apocalyptic number.

22753680 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 22753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

22753680 is an abundant number, since it is smaller than the sum of its proper divisors (48491760).

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

22753680 is a wasteful number, since it uses less digits than its factorization.

22753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 22753680 is about 4770.0817603056. The cubic root of 22753680 is about 283.3678327849.

The spelling of 22753680 in words is "twenty-two million, seven hundred fifty-three thousand, six hundred eighty".