214976268 has 168 divisors, whose sum is σ = 624688848. Its totient is φ = 64291968.

The previous prime is 214976263. The next prime is 214976287. The reversal of 214976268 is 862679412.

It is a happy number.

214976268 is a `hidden beast` number, since 2 + 14 + 9 + 7 + 626 + 8 = 666.

214976268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214976263) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2009071 + ... + 2009177.

It is an arithmetic number, because the mean of its divisors is an integer number (3718386).

Almost surely, 2^214976268 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 214976268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312344424).

214976268 is an abundant number, since it is smaller than the sum of its proper divisors (409712580).

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

214976268 is a wasteful number, since it uses less digits than its factorization.

214976268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 214976268 is about 14662.0690217991. The cubic root of 214976268 is about 599.0505985204.

The spelling of 214976268 in words is "two hundred fourteen million, nine hundred seventy-six thousand, two hundred sixty-eight".