212080320 has 168 divisors, whose sum is σ = 735025200. Its totient is φ = 56125440.

The previous prime is 212080301. The next prime is 212080339. The reversal of 212080320 is 23080212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212080301) and next prime (212080339).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212080293 and 212080302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607506 + ... + 607854.

It is an arithmetic number, because the mean of its divisors is an integer number (4375150).

Almost surely, 2^212080320 is an apocalyptic number.

212080320 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 212080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367512600).

212080320 is an abundant number, since it is smaller than the sum of its proper divisors (522944880).

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

212080320 is a wasteful number, since it uses less digits than its factorization.

212080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212080320 is about 14562.9777174862. The cubic root of 212080320 is about 596.3484891958.

The spelling of 212080320 in words is "two hundred twelve million, eighty thousand, three hundred twenty".