212808960 has 648 divisors, whose sum is σ = 954200520. Its totient is φ = 43352064.

The previous prime is 212808917. The next prime is 212808961. The reversal of 212808960 is 69808212.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 208744704 = 2016^2 + 14448^2 .

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 (212808961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7338226 + ... + 7338254.

Almost surely, 2^212808960 is an apocalyptic number.

212808960 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 212808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477100260).

212808960 is an abundant number, since it is smaller than the sum of its proper divisors (741391560).

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

212808960 is a wasteful number, since it uses less digits than its factorization.

212808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 212808960 is about 14587.9731285741. The cubic root of 212808960 is about 597.0306626339.

The spelling of 212808960 in words is "two hundred twelve million, eight hundred eight thousand, nine hundred sixty".