212448096 has 168 divisors, whose sum is σ = 717235344. Its totient is φ = 60652800.

The previous prime is 212448059. The next prime is 212448151. The reversal of 212448096 is 690844212.

It is a tau number, because it is divible by the number of its divisors (168).

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 212448096.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 162646 + ... + 163946.

It is an arithmetic number, because the mean of its divisors is an integer number (4269258).

Almost surely, 2^212448096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212448096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358617672).

212448096 is an abundant number, since it is smaller than the sum of its proper divisors (504787248).

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

212448096 is an equidigital number, since it uses as much as digits as its factorization.

212448096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 212448096 is about 14575.5993358764. The cubic root of 212448096 is about 596.6930064767.

The spelling of 212448096 in words is "two hundred twelve million, four hundred forty-eight thousand, ninety-six".