212646132 has 72 divisors (see below), whose sum is σ = 593925696. Its totient is φ = 63807744.

The previous prime is 212646103. The next prime is 212646139. The reversal of 212646132 is 231646212.

212646132 is a `hidden beast` number, since 2 + 1 + 2 + 646 + 13 + 2 = 666.

It is a super-2 number, since 2×212646132² = 90436754909122848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212646096 and 212646105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212646139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6523 + ... + 21629.

It is an arithmetic number, because the mean of its divisors is an integer number (8248968).

Almost surely, 2^212646132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212646132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296962848).

212646132 is an abundant number, since it is smaller than the sum of its proper divisors (381279564).

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

212646132 is a wasteful number, since it uses less digits than its factorization.

212646132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157 (or 15152 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 212646132 is about 14582.3911619460. The cubic root of 212646132 is about 596.8783537068.

The spelling of 212646132 in words is "two hundred twelve million, six hundred forty-six thousand, one hundred thirty-two".