212938080 has 192 divisors, whose sum is σ = 698181120. Its totient is φ = 54521856.

The previous prime is 212938067. The next prime is 212938081. The reversal of 212938080 is 80839212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212938081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2067309 + ... + 2067411.

It is an arithmetic number, because the mean of its divisors is an integer number (3636360).

Almost surely, 2^212938080 is an apocalyptic number.

212938080 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 212938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

212938080 is an abundant number, since it is smaller than the sum of its proper divisors (485243040).

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

212938080 is a wasteful number, since it uses less digits than its factorization.

212938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 212938080 is about 14592.3980208875. The cubic root of 212938080 is about 597.1513859554.

The spelling of 212938080 in words is "two hundred twelve million, nine hundred thirty-eight thousand, eighty".