214668800 has 120 divisors (see below), whose sum is σ = 550030272. Its totient is φ = 82944000.

The previous prime is 214668791. The next prime is 214668823. The reversal of 214668800 is 8866412.

It is a nialpdrome in base 16.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 396530 + ... + 397070.

Almost surely, 2^214668800 is an apocalyptic number.

214668800 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 214668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275015136).

214668800 is an abundant number, since it is smaller than the sum of its proper divisors (335361472).

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

214668800 is an equidigital number, since it uses as much as digits as its factorization.

214668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 214668800 is about 14651.5801195639. The cubic root of 214668800 is about 598.7648665611.

The spelling of 214668800 in words is "two hundred fourteen million, six hundred sixty-eight thousand, eight hundred".