213672168 has 80 divisors (see below), whose sum is σ = 606812580. Its totient is φ = 70232832.

The previous prime is 213672163. The next prime is 213672191. The reversal of 213672168 is 861276312.

It can be written as a sum of positive squares in 2 ways, for example, as 191600964 + 22071204 = 13842^2 + 4698^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213672163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45046 + ... + 49562.

Almost surely, 2^213672168 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 213672168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303406290).

213672168 is an abundant number, since it is smaller than the sum of its proper divisors (393140412).

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

213672168 is a wasteful number, since it uses less digits than its factorization.

213672168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4595 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 213672168 is about 14617.5294766250. The cubic root of 213672168 is about 597.8368103905.

The spelling of 213672168 in words is "two hundred thirteen million, six hundred seventy-two thousand, one hundred sixty-eight".