214611264 has 336 divisors, whose sum is σ = 775996416. Its totient is φ = 55296000.

The previous prime is 214611253. The next prime is 214611269. The reversal of 214611264 is 462116412.

214611264 is a `hidden beast` number, since 21 + 4 + 611 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×214611264³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214611269) 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, 2124814 + ... + 2124914.

Almost surely, 2^214611264 is an apocalyptic number.

214611264 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 214611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387998208).

214611264 is an abundant number, since it is smaller than the sum of its proper divisors (561385152).

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

214611264 is a wasteful number, since it uses less digits than its factorization.

214611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 214611264 is about 14649.6165137522. The cubic root of 214611264 is about 598.7113676927.

Adding to 214611264 its reverse (462116412), we get a palindrome (676727676).

The spelling of 214611264 in words is "two hundred fourteen million, six hundred eleven thousand, two hundred sixty-four".