212563260 has 288 divisors, whose sum is σ = 836559360. Its totient is φ = 42425856.

The previous prime is 212563259. The next prime is 212563277. The reversal of 212563260 is 62365212.

212563260 is a `hidden beast` number, since 2 + 1 + 25 + 632 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310879 + ... + 311561.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^212563260 is an apocalyptic number.

212563260 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 212563260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

212563260 is an abundant number, since it is smaller than the sum of its proper divisors (623996100).

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

212563260 is a wasteful number, since it uses less digits than its factorization.

212563260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 732 counting only the distinct ones).

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

The square root of 212563260 is about 14579.5493757523. The cubic root of 212563260 is about 596.8008055762.

The spelling of 212563260 in words is "two hundred twelve million, five hundred sixty-three thousand, two hundred sixty".