213768324 has 144 divisors (see below), whose sum is σ = 684343296. Its totient is φ = 54648000.

The previous prime is 213768307. The next prime is 213768329. The reversal of 213768324 is 423867312.

It is a happy number.

213768324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213768329) 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, 185149 + ... + 186299.

It is an arithmetic number, because the mean of its divisors is an integer number (4752384).

Almost surely, 2^213768324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213768324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342171648).

213768324 is an abundant number, since it is smaller than the sum of its proper divisors (470574972).

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

213768324 is a wasteful number, since it uses less digits than its factorization.

213768324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1241 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 213768324 is about 14620.8181713610. The cubic root of 213768324 is about 597.9264757501.

The spelling of 213768324 in words is "two hundred thirteen million, seven hundred sixty-eight thousand, three hundred twenty-four".