212436640 has 96 divisors (see below), whose sum is σ = 546028560. Its totient is φ = 77635584.

The previous prime is 212436613. The next prime is 212436661. The reversal of 212436640 is 46634212.

It can be written as a sum of positive squares in 8 ways, for example, as 24088464 + 188348176 = 4908^2 + 13724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212436599 and 212436608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226252 + ... + 227188.

Almost surely, 2^212436640 is an apocalyptic number.

212436640 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 212436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273014280).

212436640 is an abundant number, since it is smaller than the sum of its proper divisors (333591920).

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

212436640 is a wasteful number, since it uses less digits than its factorization.

212436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 212436640 is about 14575.2063450230. The cubic root of 212436640 is about 596.6822809739.

The spelling of 212436640 in words is "two hundred twelve million, four hundred thirty-six thousand, six hundred forty".