212087310 has 64 divisors (see below), whose sum is σ = 538168320. Its totient is φ = 53343360.

The previous prime is 212087251. The next prime is 212087311. The reversal of 212087310 is 13780212.

212087310 is a nontrivial binomial coefficient, being equal to C(20596, 2).

It is a super-2 number, since 2×212087310² = 89962054126072200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212087311) 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 31 ways as a sum of consecutive naturals, for example, 153784 + ... + 155156.

It is an arithmetic number, because the mean of its divisors is an integer number (8408880).

Almost surely, 2^212087310 is an apocalyptic number.

212087310 is the 20595-th triangular number and also the 10298-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212087310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269084160).

212087310 is an abundant number, since it is smaller than the sum of its proper divisors (326081010).

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

212087310 is a wasteful number, since it uses less digits than its factorization.

212087310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 212087310 is about 14563.2177076359. The cubic root of 212087310 is about 596.3550408490.

The spelling of 212087310 in words is "two hundred twelve million, eighty-seven thousand, three hundred ten".