213360000 has 320 divisors, whose sum is σ = 815738880. Its totient is φ = 48384000.

The previous prime is 213359999. The next prime is 213360001. The reversal of 213360000 is 63312.

213360000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213359999) and next prime (213360001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213360001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679937 + ... + 1680063.

It is an arithmetic number, because the mean of its divisors is an integer number (2549184).

Almost surely, 2^213360000 is an apocalyptic number.

213360000 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 213360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407869440).

213360000 is an abundant number, since it is smaller than the sum of its proper divisors (602378880).

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

213360000 is an equidigital number, since it uses as much as digits as its factorization.

213360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213360000 is about 14606.8477092082. The cubic root of 213360000 is about 597.5455285300.

It can be divided in two parts, 21 and 3360000, that multiplied together give a square (70560000 = 8400²).

The spelling of 213360000 in words is "two hundred thirteen million, three hundred sixty thousand".