218094006 has 64 divisors (see below), whose sum is σ = 491774976. Its totient is φ = 64032000.

The previous prime is 218094001. The next prime is 218094013. The reversal of 218094006 is 600490812.

218094006 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 (218094001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149581 + ... + 151031.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2^218094006 is an apocalyptic number.

218094006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 218094006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).

218094006 is an abundant number, since it is smaller than the sum of its proper divisors (273680970).

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

218094006 is a wasteful number, since it uses less digits than its factorization.

218094006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 218094006 is about 14768.0061619705. The cubic root of 218094006 is about 601.9326624534.

The spelling of 218094006 in words is "two hundred eighteen million, ninety-four thousand, six".