213724368 has 240 divisors, whose sum is σ = 716579136. Its totient is φ = 58613760.

The previous prime is 213724367. The next prime is 213724411. The reversal of 213724368 is 863427312.

It is a happy number.

213724368 is a `hidden beast` number, since 213 + 7 + 2 + 436 + 8 = 666.

213724368 is digitally balanced in base 2 and base 3, because in such bases 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213724361) 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, 1997371 + ... + 1997477.

Almost surely, 2^213724368 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 213724368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358289568).

213724368 is an abundant number, since it is smaller than the sum of its proper divisors (502854768).

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

213724368 is a wasteful number, since it uses less digits than its factorization.

213724368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

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

The square root of 213724368 is about 14619.3148950284. The cubic root of 213724368 is about 597.8854901676.

The spelling of 213724368 in words is "two hundred thirteen million, seven hundred twenty-four thousand, three hundred sixty-eight".