212766384 has 80 divisors (see below), whose sum is σ = 571150944. Its totient is φ = 68198400.

The previous prime is 212766383. The next prime is 212766403. The reversal of 212766384 is 483667212.

212766384 = 2258² + 2259² + ... + 2298².

It is a happy number.

212766384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×212766384³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212766383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142924 + ... + 144404.

Almost surely, 2^212766384 is an apocalyptic number.

212766384 is a gapful number since it is divisible by the number (24) 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 212766384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285575472).

212766384 is an abundant number, since it is smaller than the sum of its proper divisors (358384560).

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

212766384 is a wasteful number, since it uses less digits than its factorization.

212766384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1600 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 212766384 is about 14586.5137712889. The cubic root of 212766384 is about 596.9908446475.

The spelling of 212766384 in words is "two hundred twelve million, seven hundred sixty-six thousand, three hundred eighty-four".