214304064 has 112 divisors (see below), whose sum is σ = 637348992. Its totient is φ = 63055872.

The previous prime is 214304053. The next prime is 214304071. The reversal of 214304064 is 460403412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55542 + ... + 59274.

It is an arithmetic number, because the mean of its divisors is an integer number (5690616).

Almost surely, 2^214304064 is an apocalyptic number.

214304064 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 214304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318674496).

214304064 is an abundant number, since it is smaller than the sum of its proper divisors (423044928).

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

214304064 is a wasteful number, since it uses less digits than its factorization.

214304064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 214304064 is about 14639.1278428737. The cubic root of 214304064 is about 598.4255610727.

Adding to 214304064 its reverse (460403412), we get a palindrome (674707476).

The spelling of 214304064 in words is "two hundred fourteen million, three hundred four thousand, sixty-four".