213543720 has 192 divisors, whose sum is σ = 756362880. Its totient is φ = 51936768.

The previous prime is 213543643. The next prime is 213543727. The reversal of 213543720 is 27345312.

213543720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213543727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481819 + ... + 482261.

It is an arithmetic number, because the mean of its divisors is an integer number (3939390).

Almost surely, 2^213543720 is an apocalyptic number.

213543720 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 213543720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378181440).

213543720 is an abundant number, since it is smaller than the sum of its proper divisors (542819160).

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

213543720 is a wasteful number, since it uses less digits than its factorization.

213543720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 569 counting only the distinct ones).

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

The square root of 213543720 is about 14613.1351872211. The cubic root of 213543720 is about 597.7169907996.

The spelling of 213543720 in words is "two hundred thirteen million, five hundred forty-three thousand, seven hundred twenty".