214284660 has 96 divisors (see below), whose sum is σ = 668787840. Its totient is φ = 50946048.

The previous prime is 214284589. The next prime is 214284661. The reversal of 214284660 is 66482412.

It is a super-2 number, since 2×214284660² = 91835831022631200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214284661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13852 + ... + 24908.

It is an arithmetic number, because the mean of its divisors is an integer number (6966540).

Almost surely, 2^214284660 is an apocalyptic number.

214284660 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 214284660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334393920).

214284660 is an abundant number, since it is smaller than the sum of its proper divisors (454503180).

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

214284660 is a wasteful number, since it uses less digits than its factorization.

214284660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 214284660 is about 14638.4650834710. The cubic root of 214284660 is about 598.4074991971.

The spelling of 214284660 in words is "two hundred fourteen million, two hundred eighty-four thousand, six hundred sixty".