221068800 has 360 divisors, whose sum is σ = 841028760. Its totient is φ = 55296000.

The previous prime is 221068789. The next prime is 221068807. The reversal of 221068800 is 8860122.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221068807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2188750 + ... + 2188850.

It is an arithmetic number, because the mean of its divisors is an integer number (2336191).

Almost surely, 2^221068800 is an apocalyptic number.

221068800 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 221068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420514380).

221068800 is an abundant number, since it is smaller than the sum of its proper divisors (619959960).

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

221068800 is a wasteful number, since it uses less digits than its factorization.

221068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 221068800 is about 14868.3825616642. The cubic root of 221068800 is about 604.6570922954.

The spelling of 221068800 in words is "two hundred twenty-one million, sixty-eight thousand, eight hundred".