22607120 has 20 divisors (see below), whose sum is σ = 52561740. Its totient is φ = 9042816.

The previous prime is 22607087. The next prime is 22607147. The reversal of 22607120 is 2170622.

It can be written as a sum of positive squares in 2 ways, for example, as 6091024 + 16516096 = 2468^2 + 4064^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×22607120² = 1022163749388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22607092 and 22607101.

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 3 ways as a sum of consecutive naturals, for example, 141215 + ... + 141374.

It is an arithmetic number, because the mean of its divisors is an integer number (2628087).

Almost surely, 2^22607120 is an apocalyptic number.

22607120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22607120 is an abundant number, since it is smaller than the sum of its proper divisors (29954620).

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

22607120 is a wasteful number, since it uses less digits than its factorization.

22607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282602 (or 282596 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 22607120 is about 4754.6945222590. The cubic root of 22607120 is about 282.7581163502.

Adding to 22607120 its reverse (2170622), we get a palindrome (24777742).

The spelling of 22607120 in words is "twenty-two million, six hundred seven thousand, one hundred twenty".