214058664 has 48 divisors (see below), whose sum is σ = 584000820. Its totient is φ = 70828800.

The previous prime is 214058659. The next prime is 214058701. The reversal of 214058664 is 466850412.

214058664 is a `hidden beast` number, since 2 + 14 + 0 + 586 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199996164 + 14062500 = 14142^2 + 3750^2 .

It is a super-2 number, since 2×214058664² = 91642223266929792, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987 + ... + 20714.

Almost surely, 2^214058664 is an apocalyptic number.

214058664 is a gapful number since it is divisible by the number (24) 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 214058664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292000410).

214058664 is an abundant number, since it is smaller than the sum of its proper divisors (369942156).

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

214058664 is a wasteful number, since it uses less digits than its factorization.

214058664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21850 (or 21843 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 214058664 is about 14630.7437951732. The cubic root of 214058664 is about 598.1970544052.

The spelling of 214058664 in words is "two hundred fourteen million, fifty-eight thousand, six hundred sixty-four".