213396800 has 84 divisors (see below), whose sum is σ = 538061916. Its totient is φ = 83251200.

The previous prime is 213396793. The next prime is 213396803. The reversal of 213396800 is 8693312.

It can be written as a sum of positive squares in 6 ways, for example, as 937024 + 212459776 = 968^2 + 14576^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213396803) by changing a digit.

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, 63974 + ... + 67226.

It is an arithmetic number, because the mean of its divisors is an integer number (6405499).

Almost surely, 2^213396800 is an apocalyptic number.

213396800 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 213396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269030958).

213396800 is an abundant number, since it is smaller than the sum of its proper divisors (324665116).

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

213396800 is a wasteful number, since it uses less digits than its factorization.

213396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 213396800 is about 14608.1073380503. The cubic root of 213396800 is about 597.5798811287.

The spelling of 213396800 in words is "two hundred thirteen million, three hundred ninety-six thousand, eight hundred".