212089248 has 288 divisors, whose sum is σ = 746928000. Its totient is φ = 56899584.

The previous prime is 212089231. The next prime is 212089261. The reversal of 212089248 is 842980212.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1876840 + ... + 1876952.

It is an arithmetic number, because the mean of its divisors is an integer number (2593500).

Almost surely, 2^212089248 is an apocalyptic number.

212089248 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 212089248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

212089248 is an abundant number, since it is smaller than the sum of its proper divisors (534838752).

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

212089248 is a wasteful number, since it uses less digits than its factorization.

212089248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 212089248 is about 14563.2842449772. The cubic root of 212089248 is about 596.3568572905.

The spelling of 212089248 in words is "two hundred twelve million, eighty-nine thousand, two hundred forty-eight".