213676800 has 216 divisors, whose sum is σ = 729953280. Its totient is φ = 54988800.

The previous prime is 213676787. The next prime is 213676811. The reversal of 213676800 is 8676312.

213676800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595021 + ... + 595379.

Almost surely, 2^213676800 is an apocalyptic number.

213676800 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 213676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364976640).

213676800 is an abundant number, since it is smaller than the sum of its proper divisors (516276480).

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

213676800 is a wasteful number, since it uses less digits than its factorization.

213676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 213676800 is about 14617.6879156726. The cubic root of 213676800 is about 597.8411303418.

The spelling of 213676800 in words is "two hundred thirteen million, six hundred seventy-six thousand, eight hundred".