214495680 has 224 divisors, whose sum is σ = 792967680. Its totient is φ = 48107520.

The previous prime is 214495669. The next prime is 214495747. The reversal of 214495680 is 86594412.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396210 + ... + 396750.

Almost surely, 2^214495680 is an apocalyptic number.

214495680 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 214495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396483840).

214495680 is an abundant number, since it is smaller than the sum of its proper divisors (578472000).

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

214495680 is a wasteful number, since it uses less digits than its factorization.

214495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 214495680 is about 14645.6710327660. The cubic root of 214495680 is about 598.6038649759.

The spelling of 214495680 in words is "two hundred fourteen million, four hundred ninety-five thousand, six hundred eighty".