213166160 has 20 divisors (see below), whose sum is σ = 495611508. Its totient is φ = 85266432.

The previous prime is 213166157. The next prime is 213166169. The reversal of 213166160 is 61661312.

It can be written as a sum of positive squares in 2 ways, for example, as 28858384 + 184307776 = 5372^2 + 13576^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213166169) 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 3 ways as a sum of consecutive naturals, for example, 1332209 + ... + 1332368.

Almost surely, 2^213166160 is an apocalyptic number.

213166160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213166160 is an abundant number, since it is smaller than the sum of its proper divisors (282445348).

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

213166160 is a wasteful number, since it uses less digits than its factorization.

213166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664590 (or 2664584 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 213166160 is about 14600.2109573800. The cubic root of 213166160 is about 597.3645147192.

The spelling of 213166160 in words is "two hundred thirteen million, one hundred sixty-six thousand, one hundred sixty".