214080800 has 36 divisors (see below), whose sum is σ = 522626706. Its totient is φ = 85632000.

The previous prime is 214080793. The next prime is 214080857. The reversal of 214080800 is 8080412.

It can be written as a sum of positive squares in 3 ways, for example, as 85303696 + 128777104 = 9236^2 + 11348^2 .

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 5 ways as a sum of consecutive naturals, for example, 133001 + ... + 134600.

Almost surely, 2^214080800 is an apocalyptic number.

214080800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214080800 is an abundant number, since it is smaller than the sum of its proper divisors (308545906).

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

214080800 is a wasteful number, since it uses less digits than its factorization.

214080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267621 (or 267608 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 214080800 is about 14631.5002648396. The cubic root of 214080800 is about 598.2176737272.

The spelling of 214080800 in words is "two hundred fourteen million, eighty thousand, eight hundred".