214927680 has 112 divisors (see below), whose sum is σ = 744467904. Its totient is φ = 52101120.

The previous prime is 214927673. The next prime is 214927693. The reversal of 214927680 is 86729412.

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, 384 + ... + 20736.

Almost surely, 2^214927680 is an apocalyptic number.

214927680 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 214927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372233952).

214927680 is an abundant number, since it is smaller than the sum of its proper divisors (529540224).

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

214927680 is a wasteful number, since it uses less digits than its factorization.

214927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 214927680 is about 14660.4119996677. The cubic root of 214927680 is about 599.0054635173.

The spelling of 214927680 in words is "two hundred fourteen million, nine hundred twenty-seven thousand, six hundred eighty".