212042560 has 56 divisors (see below), whose sum is σ = 518601960. Its totient is φ = 82520064.

The previous prime is 212042477. The next prime is 212042569. The reversal of 212042560 is 65240212.

It can be written as a sum of positive squares in 4 ways, for example, as 52070656 + 159971904 = 7216^2 + 12648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212042569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2886 + ... + 20794.

Almost surely, 2^212042560 is an apocalyptic number.

212042560 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 212042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259300980).

212042560 is an abundant number, since it is smaller than the sum of its proper divisors (306559400).

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

212042560 is a wasteful number, since it uses less digits than its factorization.

212042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17963 (or 17953 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 212042560 is about 14561.6812216172. The cubic root of 212042560 is about 596.3130946567.

Adding to 212042560 its reverse (65240212), we get a palindrome (277282772).

The spelling of 212042560 in words is "two hundred twelve million, forty-two thousand, five hundred sixty".