22386080 has 48 divisors (see below), whose sum is σ = 53248104. Its totient is φ = 8893440.

The previous prime is 22386043. The next prime is 22386109. The reversal of 22386080 is 8068322.

It can be written as a sum of positive squares in 4 ways, for example, as 5180176 + 17205904 = 2276^2 + 4148^2 .

It is a super-2 number, since 2×22386080² = 1002273155532800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 28574 + ... + 29346.

Almost surely, 2^22386080 is an apocalyptic number.

22386080 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 22386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26624052).

22386080 is an abundant number, since it is smaller than the sum of its proper divisors (30862024).

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

22386080 is a wasteful number, since it uses less digits than its factorization.

22386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 22386080 is about 4731.3930295421. The cubic root of 22386080 is about 281.8335452792.

The spelling of 22386080 in words is "twenty-two million, three hundred eighty-six thousand, eighty".