22686480 has 140 divisors (see below), whose sum is σ = 79286220. Its totient is φ = 6034176.

The previous prime is 22686431. The next prime is 22686481. The reversal of 22686480 is 8468622.

22686480 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 15968016 = 2592^2 + 3996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22686481) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58126 + ... + 58514.

Almost surely, 2^22686480 is an apocalyptic number.

22686480 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 22686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39643110).

22686480 is an abundant number, since it is smaller than the sum of its proper divisors (56599740).

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

22686480 is an equidigital number, since it uses as much as digits as its factorization.

22686480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 22686480 is about 4763.0326473792. The cubic root of 22686480 is about 283.0885945033.

The spelling of 22686480 in words is "twenty-two million, six hundred eighty-six thousand, four hundred eighty".