214676000 has 384 divisors, whose sum is σ = 713276928. Its totient is φ = 61440000.

The previous prime is 214675987. The next prime is 214676029. The reversal of 214676000 is 676412.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5235980 + ... + 5236020.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 2^214676000 is an apocalyptic number.

214676000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

214676000 is an abundant number, since it is smaller than the sum of its proper divisors (498600928).

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

214676000 is a wasteful number, since it uses less digits than its factorization.

214676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 214676000 is about 14651.8258247906. The cubic root of 214676000 is about 598.7715606853.

The spelling of 214676000 in words is "two hundred fourteen million, six hundred seventy-six thousand".