214536064 has 64 divisors (see below), whose sum is σ = 444422160. Its totient is φ = 103071744.

The previous prime is 214536061. The next prime is 214536083. The reversal of 214536064 is 460635412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×214536064² = 92051445513224192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214536061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459159 + ... + 459625.

Almost surely, 2^214536064 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 214536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222211080).

214536064 is an abundant number, since it is smaller than the sum of its proper divisors (229886096).

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

214536064 is an equidigital number, since it uses as much as digits as its factorization.

214536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 214536064 is about 14647.0496687900. The cubic root of 214536064 is about 598.6414298373.

The spelling of 214536064 in words is "two hundred fourteen million, five hundred thirty-six thousand, sixty-four".