212560800 has 144 divisors (see below), whose sum is σ = 714454272. Its totient is φ = 54835200.

The previous prime is 212560781. The next prime is 212560801. The reversal of 212560800 is 8065212.

212560800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212560801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72972 + ... + 75828.

It is an arithmetic number, because the mean of its divisors is an integer number (4961488).

Almost surely, 2^212560800 is an apocalyptic number.

212560800 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 212560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357227136).

212560800 is an abundant number, since it is smaller than the sum of its proper divisors (501893472).

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

212560800 is a wasteful number, since it uses less digits than its factorization.

212560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 212560800 is about 14579.4650107609. The cubic root of 212560800 is about 596.7985033037.

The spelling of 212560800 in words is "two hundred twelve million, five hundred sixty thousand, eight hundred".