214681680 has 60 divisors (see below), whose sum is σ = 720975060. Its totient is φ = 57248256.

The previous prime is 214681669. The next prime is 214681721. The reversal of 214681680 is 86186412.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 137733696 = 8772^2 + 11736^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148365 + ... + 149804.

It is an arithmetic number, because the mean of its divisors is an integer number (12016251).

Almost surely, 2^214681680 is an apocalyptic number.

214681680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214681680 is an abundant number, since it is smaller than the sum of its proper divisors (506293380).

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

214681680 is a wasteful number, since it uses less digits than its factorization.

214681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298188 (or 298179 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214681680 is about 14652.0196560065. The cubic root of 214681680 is about 598.7768414999.

The spelling of 214681680 in words is "two hundred fourteen million, six hundred eighty-one thousand, six hundred eighty".