214831680 has 168 divisors, whose sum is σ = 793626048. Its totient is φ = 49093632.

The previous prime is 214831679. The next prime is 214831693. The reversal of 214831680 is 86138412.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44757 + ... + 49323.

Almost surely, 2^214831680 is an apocalyptic number.

214831680 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 214831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396813024).

214831680 is an abundant number, since it is smaller than the sum of its proper divisors (578794368).

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

214831680 is a wasteful number, since it uses less digits than its factorization.

214831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 214831680 is about 14657.1375104418. The cubic root of 214831680 is about 598.9162659349.

The spelling of 214831680 in words is "two hundred fourteen million, eight hundred thirty-one thousand, six hundred eighty".