212960 has 48 divisors (see below), whose sum is σ = 553392. Its totient is φ = 77440.

The previous prime is 212923. The next prime is 212969. The reversal of 212960 is 69212.

212960 = T₉₉ + T₁₀₀ + ... + T₁₃₀.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212969) by changing a digit.

212960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 19355 + ... + 19365.

It is an arithmetic number, because the mean of its divisors is an integer number (11529).

2²¹²⁹⁶⁰ is an apocalyptic number.

212960 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 212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276696).

212960 is an abundant number, since it is smaller than the sum of its proper divisors (340432).

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

212960 is an equidigital number, since it uses as much as digits as its factorization.

212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 212960 is about 461.4758931949. The cubic root of 212960 is about 59.7171875651.

212960 divided by its sum of digits (20) gives a cube (10648 = 22³).

The spelling of 212960 in words is "two hundred twelve thousand, nine hundred sixty".