212760856 has 64 divisors (see below), whose sum is σ = 519022080. Its totient is φ = 79284480.

The previous prime is 212760853. The next prime is 212760871. The reversal of 212760856 is 658067212.

It is a happy number.

212760856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212760851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6660 + ... + 21676.

It is an arithmetic number, because the mean of its divisors is an integer number (8109720).

Almost surely, 2^212760856 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 212760856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259511040).

212760856 is an abundant number, since it is smaller than the sum of its proper divisors (306261224).

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

212760856 is a wasteful number, since it uses less digits than its factorization.

212760856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15064 (or 15060 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 212760856 is about 14586.3242799548. The cubic root of 212760856 is about 596.9856743539.

The spelling of 212760856 in words is "two hundred twelve million, seven hundred sixty thousand, eight hundred fifty-six".