214675968 has 120 divisors (see below), whose sum is σ = 620036208. Its totient is φ = 65974272.

The previous prime is 214675939. The next prime is 214675987. The reversal of 214675968 is 869576412.

It is a super-3 number, since 3×214675968³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259171 + ... + 259997.

Almost surely, 2^214675968 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 214675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310018104).

214675968 is an abundant number, since it is smaller than the sum of its proper divisors (405360240).

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

214675968 is an equidigital number, since it uses as much as digits as its factorization.

214675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 845 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 214675968 is about 14651.8247327765. The cubic root of 214675968 is about 598.7715309340.

The spelling of 214675968 in words is "two hundred fourteen million, six hundred seventy-five thousand, nine hundred sixty-eight".