213106608 has 240 divisors, whose sum is σ = 714954240. Its totient is φ = 58406400.

The previous prime is 213106591. The next prime is 213106609. The reversal of 213106608 is 806601312.

213106608 is a `hidden beast` number, since 21 + 31 + 0 + 6 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (213106609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626703 + ... + 1626833.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^213106608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213106608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

213106608 is an abundant number, since it is smaller than the sum of its proper divisors (501847632).

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

213106608 is a wasteful number, since it uses less digits than its factorization.

213106608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 213106608 is about 14598.1713923354. The cubic root of 213106608 is about 597.3088811782.

The spelling of 213106608 in words is "two hundred thirteen million, one hundred six thousand, six hundred eight".