22086400 has 216 divisors, whose sum is σ = 68433120. Its totient is φ = 6881280.

The previous prime is 22086367. The next prime is 22086401. The reversal of 22086400 is 468022.

It is not an unprimeable number, because it can be changed into a prime (22086401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761586 + ... + 761614.

It is an arithmetic number, because the mean of its divisors is an integer number (316820).

Almost surely, 2^22086400 is an apocalyptic number.

22086400 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 22086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34216560).

22086400 is an abundant number, since it is smaller than the sum of its proper divisors (46346720).

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

22086400 is a wasteful number, since it uses less digits than its factorization.

22086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22086400 is about 4699.6170056718. The cubic root of 22086400 is about 280.5702663412.

The spelling of 22086400 in words is "twenty-two million, eighty-six thousand, four hundred".