212816240 has 320 divisors, whose sum is σ = 671956992. Its totient is φ = 60825600.

The previous prime is 212816213. The next prime is 212816273. The reversal of 212816240 is 42618212.

It is a happy number.

212816240 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 (26).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5190620 + ... + 5190660.

Almost surely, 2^212816240 is an apocalyptic number.

212816240 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 212816240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335978496).

212816240 is an abundant number, since it is smaller than the sum of its proper divisors (459140752).

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

212816240 is a wasteful number, since it uses less digits than its factorization.

212816240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 212816240 is about 14588.2226470533. Note that the first 3 decimals coincide. The cubic root of 212816240 is about 597.0374705140.

The spelling of 212816240 in words is "two hundred twelve million, eight hundred sixteen thousand, two hundred forty".