212048160 has 96 divisors (see below), whose sum is σ = 674593920. Its totient is φ = 55984128.

The previous prime is 212048149. The next prime is 212048171. The reversal of 212048160 is 61840212.

It is an interprime number because it is at equal distance from previous prime (212048149) and next prime (212048171).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212048160.

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 15 ways as a sum of consecutive naturals, for example, 47296 + ... + 51584.

It is an arithmetic number, because the mean of its divisors is an integer number (7027020).

Almost surely, 2^212048160 is an apocalyptic number.

212048160 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 212048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337296960).

212048160 is an abundant number, since it is smaller than the sum of its proper divisors (462545760).

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

212048160 is a wasteful number, since it uses less digits than its factorization.

212048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 212048160 is about 14561.8735058371. The cubic root of 212048160 is about 596.3183441122.

Adding to 212048160 its reverse (61840212), we get a palindrome (273888372).

The spelling of 212048160 in words is "two hundred twelve million, forty-eight thousand, one hundred sixty".