212533776 has 240 divisors, whose sum is σ = 749257600. Its totient is φ = 55883520.

The previous prime is 212533757. The next prime is 212533781. The reversal of 212533776 is 677335212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212533776.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641931 + ... + 642261.

Almost surely, 2^212533776 is an apocalyptic number.

212533776 is a gapful number since it is divisible by the number (26) 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 212533776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374628800).

212533776 is an abundant number, since it is smaller than the sum of its proper divisors (536723824).

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

212533776 is a wasteful number, since it uses less digits than its factorization.

212533776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 212533776 is about 14578.5381983243. The cubic root of 212533776 is about 596.7732108285.

Adding to 212533776 its reverse (677335212), we get a palindrome (889868988).

The spelling of 212533776 in words is "two hundred twelve million, five hundred thirty-three thousand, seven hundred seventy-six".