212862816 has 120 divisors (see below), whose sum is σ = 641612664. Its totient is φ = 69189120.

The previous prime is 212862779. The next prime is 212862821. The reversal of 212862816 is 618268212.

212862816 is a `hidden beast` number, since 2 + 1 + 28 + 628 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105271 + ... + 107273.

Almost surely, 2^212862816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212862816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320806332).

212862816 is an abundant number, since it is smaller than the sum of its proper divisors (428749848).

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

212862816 is a wasteful number, since it uses less digits than its factorization.

212862816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2049 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 212862816 is about 14589.8189159427. The cubic root of 212862816 is about 597.0810223107.

The spelling of 212862816 in words is "two hundred twelve million, eight hundred sixty-two thousand, eight hundred sixteen".