22623120 has 120 divisors (see below), whose sum is σ = 81854136. Its totient is φ = 5566464.

The previous prime is 22623119. The next prime is 22623143. The reversal of 22623120 is 2132622.

22623120 is a `hidden beast` number, since 22 + 623 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 18558864 = 2016^2 + 4308^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 22623093 and 22623102.

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, 8152 + ... + 10568.

Almost surely, 2^22623120 is an apocalyptic number.

22623120 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 22623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40927068).

22623120 is an abundant number, since it is smaller than the sum of its proper divisors (59231016).

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

22623120 is a wasteful number, since it uses less digits than its factorization.

22623120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22623120 is about 4756.3767722921. The cubic root of 22623120 is about 282.8248071829.

Adding to 22623120 its reverse (2132622), we get a palindrome (24755742).

The spelling of 22623120 in words is "twenty-two million, six hundred twenty-three thousand, one hundred twenty".