212605848 has 192 divisors, whose sum is σ = 728669760. Its totient is φ = 54494208.

The previous prime is 212605831. The next prime is 212605849. The reversal of 212605848 is 848506212.

212605848 is a `hidden beast` number, since 2 + 1 + 2 + 605 + 8 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212605849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241986 + ... + 242862.

It is an arithmetic number, because the mean of its divisors is an integer number (3795155).

Almost surely, 2^212605848 is an apocalyptic number.

212605848 is a gapful number since it is divisible by the number (28) 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 212605848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364334880).

212605848 is an abundant number, since it is smaller than the sum of its proper divisors (516063912).

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

212605848 is a wasteful number, since it uses less digits than its factorization.

212605848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 212605848 is about 14581.0098415713. The cubic root of 212605848 is about 596.8406601517.

The spelling of 212605848 in words is "two hundred twelve million, six hundred five thousand, eight hundred forty-eight".