212827680 has 144 divisors (see below), whose sum is σ = 782210520. Its totient is φ = 52383744.

The previous prime is 212827651. The next prime is 212827697. The reversal of 212827680 is 86728212.

It is a happy number.

212827680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 140849424 + 71978256 = 11868^2 + 8484^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13036 + ... + 24404.

Almost surely, 2^212827680 is an apocalyptic number.

212827680 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 212827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391105260).

212827680 is an abundant number, since it is smaller than the sum of its proper divisors (569382840).

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

212827680 is a wasteful number, since it uses less digits than its factorization.

212827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11403 (or 11392 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 212827680 is about 14588.6147388983. The cubic root of 212827680 is about 597.0481682977.

The spelling of 212827680 in words is "two hundred twelve million, eight hundred twenty-seven thousand, six hundred eighty".