214066800 has 150 divisors (see below), whose sum is σ = 768384848. Its totient is φ = 57075840.

The previous prime is 214066799. The next prime is 214066807. The reversal of 214066800 is 8660412.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214066807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29097 + ... + 35703.

Almost surely, 2^214066800 is an apocalyptic number.

214066800 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 214066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384192424).

214066800 is an abundant number, since it is smaller than the sum of its proper divisors (554318048).

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

214066800 is a wasteful number, since it uses less digits than its factorization.

214066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 214066800 is about 14631.0218371787. The cubic root of 214066800 is about 598.2046331214.

The spelling of 214066800 in words is "two hundred fourteen million, sixty-six thousand, eight hundred".