212656960 has 56 divisors (see below), whose sum is σ = 510957576. Its totient is φ = 84295680.

The previous prime is 212656937. The next prime is 212656967. The reversal of 212656960 is 69656212.

It can be written as a sum of positive squares in 4 ways, for example, as 6677056 + 205979904 = 2584^2 + 14352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212656967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33220 + ... + 39100.

Almost surely, 2^212656960 is an apocalyptic number.

212656960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255478788).

212656960 is an abundant number, since it is smaller than the sum of its proper divisors (298300616).

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

212656960 is a wasteful number, since it uses less digits than its factorization.

212656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6011 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 212656960 is about 14582.7624269204. The cubic root of 212656960 is about 596.8884846053. Note that the first 3 decimals are identical.

The spelling of 212656960 in words is "two hundred twelve million, six hundred fifty-six thousand, nine hundred sixty".