214067616 has 96 divisors (see below), whose sum is σ = 646611840. Its totient is φ = 60742656.

The previous prime is 214067599. The next prime is 214067629. The reversal of 214067616 is 616760412.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 104490 + ... + 106518.

It is an arithmetic number, because the mean of its divisors is an integer number (6735540).

Almost surely, 2^214067616 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 214067616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323305920).

214067616 is an abundant number, since it is smaller than the sum of its proper divisors (432544224).

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

214067616 is a wasteful number, since it uses less digits than its factorization.

214067616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 214067616 is about 14631.0497231060. The cubic root of 214067616 is about 598.2053932180.

The spelling of 214067616 in words is "two hundred fourteen million, sixty-seven thousand, six hundred sixteen".