214913664 has 192 divisors, whose sum is σ = 731952000. Its totient is φ = 59222016.

The previous prime is 214913659. The next prime is 214913687. The reversal of 214913664 is 466319412.

214913664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×214913664⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233397 + ... + 234315.

It is an arithmetic number, because the mean of its divisors is an integer number (3812250).

Almost surely, 2^214913664 is an apocalyptic number.

214913664 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 214913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365976000).

214913664 is an abundant number, since it is smaller than the sum of its proper divisors (517038336).

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

214913664 is a wasteful number, since it uses less digits than its factorization.

214913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 960 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 214913664 is about 14659.9339698377. The cubic root of 214913664 is about 598.9924423263.

The spelling of 214913664 in words is "two hundred fourteen million, nine hundred thirteen thousand, six hundred sixty-four".