212253660 has 144 divisors (see below), whose sum is σ = 678053376. Its totient is φ = 53640576.

The previous prime is 212253649. The next prime is 212253673. The reversal of 212253660 is 66352212.

212253660 is a `hidden beast` number, since 2 + 122 + 536 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691227 + ... + 691533.

It is an arithmetic number, because the mean of its divisors is an integer number (4708704).

Almost surely, 2^212253660 is an apocalyptic number.

212253660 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 212253660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339026688).

212253660 is an abundant number, since it is smaller than the sum of its proper divisors (465799716).

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

212253660 is a wasteful number, since it uses less digits than its factorization.

212253660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 212253660 is about 14568.9278946668. The cubic root of 212253660 is about 596.5109164892.

The spelling of 212253660 in words is "two hundred twelve million, two hundred fifty-three thousand, six hundred sixty".