214885872 has 180 divisors, whose sum is σ = 658953360. Its totient is φ = 67744512.

The previous prime is 214885871. The next prime is 214885873. The reversal of 214885872 is 278588412.

It is a happy number.

214885872 is a `hidden beast` number, since 21 + 48 + 8 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (214885871) and next prime (214885873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214885871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2414404 + ... + 2414492.

It is an arithmetic number, because the mean of its divisors is an integer number (3660852).

Almost surely, 2^214885872 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 214885872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329476680).

214885872 is an abundant number, since it is smaller than the sum of its proper divisors (444067488).

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

214885872 is an frugal number, since it uses more digits than its factorization.

214885872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 214885872 is about 14658.9860495193. The cubic root of 214885872 is about 598.9666212357.

The spelling of 214885872 in words is "two hundred fourteen million, eight hundred eighty-five thousand, eight hundred seventy-two".