212676840 has 160 divisors (see below), whose sum is σ = 732722760. Its totient is φ = 55296000.

The previous prime is 212676773. The next prime is 212676853. The reversal of 212676840 is 48676212.

It can be written as a sum of positive squares in 4 ways, for example, as 183710916 + 28965924 = 13554^2 + 5382^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 212676795 and 212676804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132040 + ... + 133640.

Almost surely, 2^212676840 is an apocalyptic number.

212676840 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 212676840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366361380).

212676840 is an abundant number, since it is smaller than the sum of its proper divisors (520045920).

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

212676840 is a wasteful number, since it uses less digits than its factorization.

212676840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 212676840 is about 14583.4440376751. Note that the first 3 decimals coincide. The cubic root of 212676840 is about 596.9070838450.

The spelling of 212676840 in words is "two hundred twelve million, six hundred seventy-six thousand, eight hundred forty".