214374006 has 192 divisors, whose sum is σ = 617971200. Its totient is φ = 53887680.

The previous prime is 214373993. The next prime is 214374019. The reversal of 214374006 is 600473412.

It is an interprime number because it is at equal distance from previous prime (214373993) and next prime (214374019).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1966680 + ... + 1966788.

It is an arithmetic number, because the mean of its divisors is an integer number (3218600).

Almost surely, 2^214374006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214374006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308985600).

214374006 is an abundant number, since it is smaller than the sum of its proper divisors (403597194).

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

214374006 is a wasteful number, since it uses less digits than its factorization.

214374006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 214374006 is about 14641.5165198145. The cubic root of 214374006 is about 598.4906563199.

The spelling of 214374006 in words is "two hundred fourteen million, three hundred seventy-four thousand, six".