214460568 has 256 divisors, whose sum is σ = 724608000. Its totient is φ = 57480192.

The previous prime is 214460563. The next prime is 214460633. The reversal of 214460568 is 865064412.

214460568 is a `hidden beast` number, since 2 + 1 + 44 + 605 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214460563) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2937780 + ... + 2937852.

It is an arithmetic number, because the mean of its divisors is an integer number (2830500).

Almost surely, 2^214460568 is an apocalyptic number.

214460568 is a gapful number since it is divisible by the number (28) 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 214460568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362304000).

214460568 is an abundant number, since it is smaller than the sum of its proper divisors (510147432).

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

214460568 is a wasteful number, since it uses less digits than its factorization.

214460568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

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

The square root of 214460568 is about 14644.4722677193. The cubic root of 214460568 is about 598.5712002529.

The spelling of 214460568 in words is "two hundred fourteen million, four hundred sixty thousand, five hundred sixty-eight".