213393720 has 64 divisors (see below), whose sum is σ = 645887520. Its totient is φ = 56397824.

The previous prime is 213393683. The next prime is 213393721. The reversal of 213393720 is 27393312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213393721) 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 15 ways as a sum of consecutive naturals, for example, 5692 + ... + 21428.

Almost surely, 2^213393720 is an apocalyptic number.

213393720 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 213393720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322943760).

213393720 is an abundant number, since it is smaller than the sum of its proper divisors (432493800).

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

213393720 is a wasteful number, since it uses less digits than its factorization.

213393720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864 (or 15860 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 213393720 is about 14608.0019167578. The cubic root of 213393720 is about 597.5770061170.

The spelling of 213393720 in words is "two hundred thirteen million, three hundred ninety-three thousand, seven hundred twenty".