213534720 has 288 divisors, whose sum is σ = 848352960. Its totient is φ = 48660480.

The previous prime is 213534703. The next prime is 213534781. The reversal of 213534720 is 27435312.

213534720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 644955 + ... + 645285.

It is an arithmetic number, because the mean of its divisors is an integer number (2945670).

Almost surely, 2^213534720 is an apocalyptic number.

213534720 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 213534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424176480).

213534720 is an abundant number, since it is smaller than the sum of its proper divisors (634818240).

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

213534720 is a wasteful number, since it uses less digits than its factorization.

213534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 213534720 is about 14612.8272418447. The cubic root of 213534720 is about 597.7085935675.

The spelling of 213534720 in words is "two hundred thirteen million, five hundred thirty-four thousand, seven hundred twenty".