213327600 has 120 divisors (see below), whose sum is σ = 686615280. Its totient is φ = 56616960.

The previous prime is 213327581. The next prime is 213327617. The reversal of 213327600 is 6723312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 466572 + ... + 467028.

It is an arithmetic number, because the mean of its divisors is an integer number (5721794).

Almost surely, 2^213327600 is an apocalyptic number.

213327600 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 213327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343307640).

213327600 is an abundant number, since it is smaller than the sum of its proper divisors (473287680).

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

213327600 is a wasteful number, since it uses less digits than its factorization.

213327600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 213327600 is about 14605.7385982360. The cubic root of 213327600 is about 597.5152800373.

The spelling of 213327600 in words is "two hundred thirteen million, three hundred twenty-seven thousand, six hundred".