214490088 has 192 divisors, whose sum is σ = 677289600. Its totient is φ = 60825600.

The previous prime is 214490083. The next prime is 214490113. The reversal of 214490088 is 880094412.

214490088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214490083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534688 + ... + 535088.

It is an arithmetic number, because the mean of its divisors is an integer number (3527550).

Almost surely, 2^214490088 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 214490088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338644800).

214490088 is an abundant number, since it is smaller than the sum of its proper divisors (462799512).

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

214490088 is a wasteful number, since it uses less digits than its factorization.

214490088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214490088 is about 14645.4801218670. The cubic root of 214490088 is about 598.5986629723.

The spelling of 214490088 in words is "two hundred fourteen million, four hundred ninety thousand, eighty-eight".