22785840 has 320 divisors, whose sum is σ = 98565120. Its totient is φ = 4700160.

The previous prime is 22785839. The next prime is 22785857. The reversal of 22785840 is 4858722.

It is a happy number.

22785840 is a `hidden beast` number, since 2 + 2 + 78 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22785795 and 22785804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166252 + ... + 166388.

It is an arithmetic number, because the mean of its divisors is an integer number (308016).

Almost surely, 2^22785840 is an apocalyptic number.

22785840 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 22785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282560).

22785840 is an abundant number, since it is smaller than the sum of its proper divisors (75779280).

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

22785840 is a wasteful number, since it uses less digits than its factorization.

22785840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 22785840 is about 4773.4515814031. The cubic root of 22785840 is about 283.5012737548.

It can be divided in two parts, 2278 and 5840, that added together give a palindrome (8118).

The spelling of 22785840 in words is "twenty-two million, seven hundred eighty-five thousand, eight hundred forty".