213368064 has 288 divisors, whose sum is σ = 725243904. Its totient is φ = 54190080.

The previous prime is 213368063. The next prime is 213368083. The reversal of 213368064 is 460863312.

213368064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213368064³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213368063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005149 + ... + 3005219.

It is an arithmetic number, because the mean of its divisors is an integer number (2518208).

Almost surely, 2^213368064 is an apocalyptic number.

213368064 is a gapful number since it is divisible by the number (24) 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 213368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362621952).

213368064 is an abundant number, since it is smaller than the sum of its proper divisors (511875840).

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

213368064 is a wasteful number, since it uses less digits than its factorization.

213368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 213368064 is about 14607.1237415174. The cubic root of 213368064 is about 597.5530565678.

The spelling of 213368064 in words is "two hundred thirteen million, three hundred sixty-eight thousand, sixty-four".