214855680 has 208 divisors, whose sum is σ = 743087520. Its totient is φ = 52690944.

The previous prime is 214855661. The next prime is 214855733. The reversal of 214855680 is 86558412.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798586 + ... + 798854.

Almost surely, 2^214855680 is an apocalyptic number.

214855680 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 214855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371543760).

214855680 is an abundant number, since it is smaller than the sum of its proper divisors (528231840).

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

214855680 is a wasteful number, since it uses less digits than its factorization.

214855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 214855680 is about 14657.9562013263. The cubic root of 214855680 is about 598.9385678213.

The spelling of 214855680 in words is "two hundred fourteen million, eight hundred fifty-five thousand, six hundred eighty".