214676816 has 40 divisors (see below), whose sum is σ = 443442600. Its totient is φ = 100327424.

The previous prime is 214676797. The next prime is 214676831. The reversal of 214676816 is 618676412.

214676816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48163600 + 166513216 = 6940^2 + 12904^2 .

It is a super-2 number, since 2×214676816² = 92172270655795712, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37880 + ... + 43176.

It is an arithmetic number, because the mean of its divisors is an integer number (11086065).

Almost surely, 2^214676816 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 214676816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221721300).

214676816 is an abundant number, since it is smaller than the sum of its proper divisors (228765784).

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

214676816 is a wasteful number, since it uses less digits than its factorization.

214676816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5465 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 214676816 is about 14651.8536711230. The cubic root of 214676816 is about 598.7723193433.

The spelling of 214676816 in words is "two hundred fourteen million, six hundred seventy-six thousand, eight hundred sixteen".