212868320 has 96 divisors (see below), whose sum is σ = 593381376. Its totient is φ = 70617600.

The previous prime is 212868317. The next prime is 212868329. The reversal of 212868320 is 23868212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212868329) 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 15 ways as a sum of consecutive naturals, for example, 31655 + ... + 37785.

It is an arithmetic number, because the mean of its divisors is an integer number (6181056).

Almost surely, 2^212868320 is an apocalyptic number.

212868320 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 212868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296690688).

212868320 is an abundant number, since it is smaller than the sum of its proper divisors (380513056).

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

212868320 is a wasteful number, since it uses less digits than its factorization.

212868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 212868320 is about 14590.0075394086. The cubic root of 212868320 is about 597.0861685135.

The spelling of 212868320 in words is "two hundred twelve million, eight hundred sixty-eight thousand, three hundred twenty".