213868800 has 324 divisors, whose sum is σ = 790782720. Its totient is φ = 55111680.

The previous prime is 213868793. The next prime is 213868849. The reversal of 213868800 is 8868312.

It is a super-2 number, since 2×213868800² = 91479727226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2707161 + ... + 2707239.

Almost surely, 2^213868800 is an apocalyptic number.

213868800 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 213868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395391360).

213868800 is an abundant number, since it is smaller than the sum of its proper divisors (576913920).

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

213868800 is a wasteful number, since it uses less digits than its factorization.

213868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 213868800 is about 14624.2538271188. The cubic root of 213868800 is about 598.0201407817.

The spelling of 213868800 in words is "two hundred thirteen million, eight hundred sixty-eight thousand, eight hundred".