212839920 has 160 divisors (see below), whose sum is σ = 738167040. Its totient is φ = 56367360.

The previous prime is 212839889. The next prime is 212839927. The reversal of 212839920 is 29938212.

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 (212839927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455527 + ... + 455993.

It is an arithmetic number, because the mean of its divisors is an integer number (4613544).

Almost surely, 2^212839920 is an apocalyptic number.

212839920 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 212839920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369083520).

212839920 is an abundant number, since it is smaller than the sum of its proper divisors (525327120).

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

212839920 is a wasteful number, since it uses less digits than its factorization.

212839920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 212839920 is about 14589.0342380844. The cubic root of 212839920 is about 597.0596137536.

The spelling of 212839920 in words is "two hundred twelve million, eight hundred thirty-nine thousand, nine hundred twenty".