212664960 has 256 divisors, whose sum is σ = 779443200. Its totient is φ = 54743040.

The previous prime is 212664941. The next prime is 212664973. The reversal of 212664960 is 69466212.

212664960 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 649 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535482 + ... + 535878.

It is an arithmetic number, because the mean of its divisors is an integer number (3044700).

Almost surely, 2^212664960 is an apocalyptic number.

212664960 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 212664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389721600).

212664960 is an abundant number, since it is smaller than the sum of its proper divisors (566778240).

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

212664960 is a wasteful number, since it uses less digits than its factorization.

212664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 212664960 is about 14583.0367207931. The cubic root of 212664960 is about 596.8959693482.

The spelling of 212664960 in words is "two hundred twelve million, six hundred sixty-four thousand, nine hundred sixty".